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Finding the Fourth Proportional to 15,982.65, 23,947.61 and 9,723.74

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Solution

The fourth proportional to 15,982.65, 23,947.61 and 9,723.74 is: 14,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.65 : 23,947.61 = 9,723.74 : x
  2. Step 2: Convert to fraction form
    15,982.65/23,947.61 = 9,723.74/x
  3. Step 3: Cross multiply
    15,982.65x = 23,947.61 × 9,723.74
  4. Step 4: Simplify right side
    15,982.65x = 232,860,164.90
  5. Step 5: Solve for x
    x = 232,860,164.90/15,982.65
  6. Step 6: Final answer
    x = 14,569.56

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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.