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Finding the Fourth Proportional to 21,432.71, 29,591.59 and 13,378.63

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Solution

The fourth proportional to 21,432.71, 29,591.59 and 13,378.63 is: 18,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432.71 : 29,591.59 = 13,378.63 : x
  2. Step 2: Convert to fraction form
    21,432.71/29,591.59 = 13,378.63/x
  3. Step 3: Cross multiply
    21,432.71x = 29,591.59 × 13,378.63
  4. Step 4: Simplify right side
    21,432.71x = 395,894,937.26
  5. Step 5: Solve for x
    x = 395,894,937.26/21,432.71
  6. Step 6: Final answer
    x = 18,471.53

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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.