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Finding the Fourth Proportional to 24,747, 34,153.02 and 13,571.16

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Solution

The fourth proportional to 24,747, 34,153.02 and 13,571.16 is: 18,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747 : 34,153.02 = 13,571.16 : x
  2. Step 2: Convert to fraction form
    24,747/34,153.02 = 13,571.16/x
  3. Step 3: Cross multiply
    24,747x = 34,153.02 × 13,571.16
  4. Step 4: Simplify right side
    24,747x = 463,496,098.90
  5. Step 5: Solve for x
    x = 463,496,098.90/24,747
  6. Step 6: Final answer
    x = 18,729.39

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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.