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Finding the Fourth Proportional to 23,216.62, 32,065.05 and 15,694

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Solution

The fourth proportional to 23,216.62, 32,065.05 and 15,694 is: 21,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.62 : 32,065.05 = 15,694 : x
  2. Step 2: Convert to fraction form
    23,216.62/32,065.05 = 15,694/x
  3. Step 3: Cross multiply
    23,216.62x = 32,065.05 × 15,694
  4. Step 4: Simplify right side
    23,216.62x = 503,228,894.70
  5. Step 5: Solve for x
    x = 503,228,894.70/23,216.62
  6. Step 6: Final answer
    x = 21,675.37

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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.