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Finding the Fourth Proportional to 12,862.80, 17,752.68 and 9,324.72

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Solution

The fourth proportional to 12,862.80, 17,752.68 and 9,324.72 is: 12,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.80 : 17,752.68 = 9,324.72 : x
  2. Step 2: Convert to fraction form
    12,862.80/17,752.68 = 9,324.72/x
  3. Step 3: Cross multiply
    12,862.80x = 17,752.68 × 9,324.72
  4. Step 4: Simplify right side
    12,862.80x = 165,538,770.25
  5. Step 5: Solve for x
    x = 165,538,770.25/12,862.80
  6. Step 6: Final answer
    x = 12,869.58

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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.