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Finding the Fourth Proportional to 13,565.65, 20,316.88 and 13,191.96

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Solution

The fourth proportional to 13,565.65, 20,316.88 and 13,191.96 is: 19,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.65 : 20,316.88 = 13,191.96 : x
  2. Step 2: Convert to fraction form
    13,565.65/20,316.88 = 13,191.96/x
  3. Step 3: Cross multiply
    13,565.65x = 20,316.88 × 13,191.96
  4. Step 4: Simplify right side
    13,565.65x = 268,019,468.28
  5. Step 5: Solve for x
    x = 268,019,468.28/13,565.65
  6. Step 6: Final answer
    x = 19,757.22

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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.