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Finding the Fourth Proportional to 24,859.50, 34,306.14 and 13,681.50

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Solution

The fourth proportional to 24,859.50, 34,306.14 and 13,681.50 is: 18,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859.50 : 34,306.14 = 13,681.50 : x
  2. Step 2: Convert to fraction form
    24,859.50/34,306.14 = 13,681.50/x
  3. Step 3: Cross multiply
    24,859.50x = 34,306.14 × 13,681.50
  4. Step 4: Simplify right side
    24,859.50x = 469,359,454.41
  5. Step 5: Solve for x
    x = 469,359,454.41/24,859.50
  6. Step 6: Final answer
    x = 18,880.49

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