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Finding the Fourth Proportional to 24,859, 34,306.16 and 13,681

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Solution

The fourth proportional to 24,859, 34,306.16 and 13,681 is: 18,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859 : 34,306.16 = 13,681 : x
  2. Step 2: Convert to fraction form
    24,859/34,306.16 = 13,681/x
  3. Step 3: Cross multiply
    24,859x = 34,306.16 × 13,681
  4. Step 4: Simplify right side
    24,859x = 469,342,574.96
  5. Step 5: Solve for x
    x = 469,342,574.96/24,859
  6. Step 6: Final answer
    x = 18,880.19

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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.