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Finding the Fourth Proportional to 24,701, 34,087.38 and 13,523

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Solution

The fourth proportional to 24,701, 34,087.38 and 13,523 is: 18,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701 : 34,087.38 = 13,523 : x
  2. Step 2: Convert to fraction form
    24,701/34,087.38 = 13,523/x
  3. Step 3: Cross multiply
    24,701x = 34,087.38 × 13,523
  4. Step 4: Simplify right side
    24,701x = 460,963,639.74
  5. Step 5: Solve for x
    x = 460,963,639.74/24,701
  6. Step 6: Final answer
    x = 18,661.74

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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.