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Finding the Fourth Proportional to 14,813.60, 22,229.17 and 5,460.13

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Solution

The fourth proportional to 14,813.60, 22,229.17 and 5,460.13 is: 8,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.60 : 22,229.17 = 5,460.13 : x
  2. Step 2: Convert to fraction form
    14,813.60/22,229.17 = 5,460.13/x
  3. Step 3: Cross multiply
    14,813.60x = 22,229.17 × 5,460.13
  4. Step 4: Simplify right side
    14,813.60x = 121,374,047.09
  5. Step 5: Solve for x
    x = 121,374,047.09/14,813.60
  6. Step 6: Final answer
    x = 8,193.42

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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.