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Finding the Fourth Proportional to 13,654.68, 20,455.78 and 8,374.29

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Solution

The fourth proportional to 13,654.68, 20,455.78 and 8,374.29 is: 12,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.68 : 20,455.78 = 8,374.29 : x
  2. Step 2: Convert to fraction form
    13,654.68/20,455.78 = 8,374.29/x
  3. Step 3: Cross multiply
    13,654.68x = 20,455.78 × 8,374.29
  4. Step 4: Simplify right side
    13,654.68x = 171,302,689.67
  5. Step 5: Solve for x
    x = 171,302,689.67/13,654.68
  6. Step 6: Final answer
    x = 12,545.35

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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.