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Finding the Fourth Proportional to 15,167.97, 22,833.86 and 13,642.16

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Solution

The fourth proportional to 15,167.97, 22,833.86 and 13,642.16 is: 20,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167.97 : 22,833.86 = 13,642.16 : x
  2. Step 2: Convert to fraction form
    15,167.97/22,833.86 = 13,642.16/x
  3. Step 3: Cross multiply
    15,167.97x = 22,833.86 × 13,642.16
  4. Step 4: Simplify right side
    15,167.97x = 311,502,989.16
  5. Step 5: Solve for x
    x = 311,502,989.16/15,167.97
  6. Step 6: Final answer
    x = 20,536.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.