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Finding the Fourth Proportional to 13,567.71, 20,338.05 and 6,545.72

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Solution

The fourth proportional to 13,567.71, 20,338.05 and 6,545.72 is: 9,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.71 : 20,338.05 = 6,545.72 : x
  2. Step 2: Convert to fraction form
    13,567.71/20,338.05 = 6,545.72/x
  3. Step 3: Cross multiply
    13,567.71x = 20,338.05 × 6,545.72
  4. Step 4: Simplify right side
    13,567.71x = 133,127,256.04
  5. Step 5: Solve for x
    x = 133,127,256.04/13,567.71
  6. Step 6: Final answer
    x = 9,812.06

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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.