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Finding the Fourth Proportional to 13,646.38, 20,460.49 and 5,327.17

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Solution

The fourth proportional to 13,646.38, 20,460.49 and 5,327.17 is: 7,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.38 : 20,460.49 = 5,327.17 : x
  2. Step 2: Convert to fraction form
    13,646.38/20,460.49 = 5,327.17/x
  3. Step 3: Cross multiply
    13,646.38x = 20,460.49 × 5,327.17
  4. Step 4: Simplify right side
    13,646.38x = 108,996,508.51
  5. Step 5: Solve for x
    x = 108,996,508.51/13,646.38
  6. Step 6: Final answer
    x = 7,987.21

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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.