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Finding the Fourth Proportional to 12,732.33, 17,569.65 and 7,142.25

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Solution

The fourth proportional to 12,732.33, 17,569.65 and 7,142.25 is: 9,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.33 : 17,569.65 = 7,142.25 : x
  2. Step 2: Convert to fraction form
    12,732.33/17,569.65 = 7,142.25/x
  3. Step 3: Cross multiply
    12,732.33x = 17,569.65 × 7,142.25
  4. Step 4: Simplify right side
    12,732.33x = 125,486,832.71
  5. Step 5: Solve for x
    x = 125,486,832.71/12,732.33
  6. Step 6: Final answer
    x = 9,855.76

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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.