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Finding the Fourth Proportional to 15,761.76, 23,641.20 and 9,183.84

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Solution

The fourth proportional to 15,761.76, 23,641.20 and 9,183.84 is: 13,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.76 : 23,641.20 = 9,183.84 : x
  2. Step 2: Convert to fraction form
    15,761.76/23,641.20 = 9,183.84/x
  3. Step 3: Cross multiply
    15,761.76x = 23,641.20 × 9,183.84
  4. Step 4: Simplify right side
    15,761.76x = 217,116,998.21
  5. Step 5: Solve for x
    x = 217,116,998.21/15,761.76
  6. Step 6: Final answer
    x = 13,774.92

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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.