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Finding the Fourth Proportional to 24,671.12, 34,044.72 and 14,061.74

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Solution

The fourth proportional to 24,671.12, 34,044.72 and 14,061.74 is: 19,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.12 : 34,044.72 = 14,061.74 : x
  2. Step 2: Convert to fraction form
    24,671.12/34,044.72 = 14,061.74/x
  3. Step 3: Cross multiply
    24,671.12x = 34,044.72 × 14,061.74
  4. Step 4: Simplify right side
    24,671.12x = 478,728,001.01
  5. Step 5: Solve for x
    x = 478,728,001.01/24,671.12
  6. Step 6: Final answer
    x = 19,404.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.