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Finding the Fourth Proportional to 15,338.10, 21,167.80 and 8,624

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Solution

The fourth proportional to 15,338.10, 21,167.80 and 8,624 is: 11,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.10 : 21,167.80 = 8,624 : x
  2. Step 2: Convert to fraction form
    15,338.10/21,167.80 = 8,624/x
  3. Step 3: Cross multiply
    15,338.10x = 21,167.80 × 8,624
  4. Step 4: Simplify right side
    15,338.10x = 182,551,107.20
  5. Step 5: Solve for x
    x = 182,551,107.20/15,338.10
  6. Step 6: Final answer
    x = 11,901.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.