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Finding the Fourth Proportional to 13,691.14, 20,526.99 and 6,567.22

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Solution

The fourth proportional to 13,691.14, 20,526.99 and 6,567.22 is: 9,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.14 : 20,526.99 = 6,567.22 : x
  2. Step 2: Convert to fraction form
    13,691.14/20,526.99 = 6,567.22/x
  3. Step 3: Cross multiply
    13,691.14x = 20,526.99 × 6,567.22
  4. Step 4: Simplify right side
    13,691.14x = 134,805,259.27
  5. Step 5: Solve for x
    x = 134,805,259.27/13,691.14
  6. Step 6: Final answer
    x = 9,846.17

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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.