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Finding the Fourth Proportional to 24,592, 36,878.28 and 12,102.88

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Solution

The fourth proportional to 24,592, 36,878.28 and 12,102.88 is: 18,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,592 : 36,878.28 = 12,102.88 : x
  2. Step 2: Convert to fraction form
    24,592/36,878.28 = 12,102.88/x
  3. Step 3: Cross multiply
    24,592x = 36,878.28 × 12,102.88
  4. Step 4: Simplify right side
    24,592x = 446,333,397.45
  5. Step 5: Solve for x
    x = 446,333,397.45/24,592
  6. Step 6: Final answer
    x = 18,149.54

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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.