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Finding the Fourth Proportional to 16,634,537.40, 24,924,978.90 and 9,424,630.20

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Solution

The fourth proportional to 16,634,537.40, 24,924,978.90 and 9,424,630.20 is: 14,121,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634,537.40 : 24,924,978.90 = 9,424,630.20 : x
  2. Step 2: Convert to fraction form
    16,634,537.40/24,924,978.90 = 9,424,630.20/x
  3. Step 3: Cross multiply
    16,634,537.40x = 24,924,978.90 × 9,424,630.20
  4. Step 4: Simplify right side
    16,634,537.40x = 234,908,708,875,302.75
  5. Step 5: Solve for x
    x = 234,908,708,875,302.75/16,634,537.40
  6. Step 6: Final answer
    x = 14,121,745.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.