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Finding the Fourth Proportional to 13,151.67, 19,732.14 and 8,215.53

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Solution

The fourth proportional to 13,151.67, 19,732.14 and 8,215.53 is: 12,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.67 : 19,732.14 = 8,215.53 : x
  2. Step 2: Convert to fraction form
    13,151.67/19,732.14 = 8,215.53/x
  3. Step 3: Cross multiply
    13,151.67x = 19,732.14 × 8,215.53
  4. Step 4: Simplify right side
    13,151.67x = 162,109,988.13
  5. Step 5: Solve for x
    x = 162,109,988.13/13,151.67
  6. Step 6: Final answer
    x = 12,326.19

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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.