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Finding the Fourth Proportional to 23,689.67, 32,678.03 and 15,306.17

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Solution

The fourth proportional to 23,689.67, 32,678.03 and 15,306.17 is: 21,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.67 : 32,678.03 = 15,306.17 : x
  2. Step 2: Convert to fraction form
    23,689.67/32,678.03 = 15,306.17/x
  3. Step 3: Cross multiply
    23,689.67x = 32,678.03 × 15,306.17
  4. Step 4: Simplify right side
    23,689.67x = 500,175,357.32
  5. Step 5: Solve for x
    x = 500,175,357.32/23,689.67
  6. Step 6: Final answer
    x = 21,113.65

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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.