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Finding the Fourth Proportional to 14,578.88, 21,834.28 and 13,402.76

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Solution

The fourth proportional to 14,578.88, 21,834.28 and 13,402.76 is: 20,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.88 : 21,834.28 = 13,402.76 : x
  2. Step 2: Convert to fraction form
    14,578.88/21,834.28 = 13,402.76/x
  3. Step 3: Cross multiply
    14,578.88x = 21,834.28 × 13,402.76
  4. Step 4: Simplify right side
    14,578.88x = 292,639,614.61
  5. Step 5: Solve for x
    x = 292,639,614.61/14,578.88
  6. Step 6: Final answer
    x = 20,072.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.