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Finding the Fourth Proportional to 13,502.92, 20,252.32 and 5,186.86

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Solution

The fourth proportional to 13,502.92, 20,252.32 and 5,186.86 is: 7,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.92 : 20,252.32 = 5,186.86 : x
  2. Step 2: Convert to fraction form
    13,502.92/20,252.32 = 5,186.86/x
  3. Step 3: Cross multiply
    13,502.92x = 20,252.32 × 5,186.86
  4. Step 4: Simplify right side
    13,502.92x = 105,045,948.52
  5. Step 5: Solve for x
    x = 105,045,948.52/13,502.92
  6. Step 6: Final answer
    x = 7,779.50

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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.