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Finding the Fourth Proportional to 15,732.84, 23,624.38 and 9,163.74

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Solution

The fourth proportional to 15,732.84, 23,624.38 and 9,163.74 is: 13,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.84 : 23,624.38 = 9,163.74 : x
  2. Step 2: Convert to fraction form
    15,732.84/23,624.38 = 9,163.74/x
  3. Step 3: Cross multiply
    15,732.84x = 23,624.38 × 9,163.74
  4. Step 4: Simplify right side
    15,732.84x = 216,487,675.98
  5. Step 5: Solve for x
    x = 216,487,675.98/15,732.84
  6. Step 6: Final answer
    x = 13,760.24

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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.