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Finding the Fourth Proportional to 15,737.40, 21,708 and 12,374.82

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Solution

The fourth proportional to 15,737.40, 21,708 and 12,374.82 is: 17,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.40 : 21,708 = 12,374.82 : x
  2. Step 2: Convert to fraction form
    15,737.40/21,708 = 12,374.82/x
  3. Step 3: Cross multiply
    15,737.40x = 21,708 × 12,374.82
  4. Step 4: Simplify right side
    15,737.40x = 268,632,592.56
  5. Step 5: Solve for x
    x = 268,632,592.56/15,737.40
  6. Step 6: Final answer
    x = 17,069.69

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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.