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Finding the Fourth Proportional to 24,747, 34,151.04 and 13,569

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Solution

The fourth proportional to 24,747, 34,151.04 and 13,569 is: 18,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747 : 34,151.04 = 13,569 : x
  2. Step 2: Convert to fraction form
    24,747/34,151.04 = 13,569/x
  3. Step 3: Cross multiply
    24,747x = 34,151.04 × 13,569
  4. Step 4: Simplify right side
    24,747x = 463,395,461.76
  5. Step 5: Solve for x
    x = 463,395,461.76/24,747
  6. Step 6: Final answer
    x = 18,725.32

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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.