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Finding the Fourth Proportional to 14,916.87, 20,584.26 and 8,542.71

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Solution

The fourth proportional to 14,916.87, 20,584.26 and 8,542.71 is: 11,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.87 : 20,584.26 = 8,542.71 : x
  2. Step 2: Convert to fraction form
    14,916.87/20,584.26 = 8,542.71/x
  3. Step 3: Cross multiply
    14,916.87x = 20,584.26 × 8,542.71
  4. Step 4: Simplify right side
    14,916.87x = 175,845,363.74
  5. Step 5: Solve for x
    x = 175,845,363.74/14,916.87
  6. Step 6: Final answer
    x = 11,788.36

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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.