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Finding the Fourth Proportional to 16,076, 24,120.89 and 8,290.28

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Solution

The fourth proportional to 16,076, 24,120.89 and 8,290.28 is: 12,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076 : 24,120.89 = 8,290.28 : x
  2. Step 2: Convert to fraction form
    16,076/24,120.89 = 8,290.28/x
  3. Step 3: Cross multiply
    16,076x = 24,120.89 × 8,290.28
  4. Step 4: Simplify right side
    16,076x = 199,968,931.95
  5. Step 5: Solve for x
    x = 199,968,931.95/16,076
  6. Step 6: Final answer
    x = 12,438.97

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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.