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Finding the Fourth Proportional to 13,586.64, 20,387.33 and 5,689.86

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Solution

The fourth proportional to 13,586.64, 20,387.33 and 5,689.86 is: 8,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.64 : 20,387.33 = 5,689.86 : x
  2. Step 2: Convert to fraction form
    13,586.64/20,387.33 = 5,689.86/x
  3. Step 3: Cross multiply
    13,586.64x = 20,387.33 × 5,689.86
  4. Step 4: Simplify right side
    13,586.64x = 116,001,025.02
  5. Step 5: Solve for x
    x = 116,001,025.02/13,586.64
  6. Step 6: Final answer
    x = 8,537.87

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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.