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Finding the Fourth Proportional to 23,921.52, 35,861.76 and 9,120

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Solution

The fourth proportional to 23,921.52, 35,861.76 and 9,120 is: 13,672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921.52 : 35,861.76 = 9,120 : x
  2. Step 2: Convert to fraction form
    23,921.52/35,861.76 = 9,120/x
  3. Step 3: Cross multiply
    23,921.52x = 35,861.76 × 9,120
  4. Step 4: Simplify right side
    23,921.52x = 327,059,251.20
  5. Step 5: Solve for x
    x = 327,059,251.20/23,921.52
  6. Step 6: Final answer
    x = 13,672.18

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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.