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Finding the Fourth Proportional to 23,856.50, 35,784.75 and 9,061.92

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Solution

The fourth proportional to 23,856.50, 35,784.75 and 9,061.92 is: 13,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.50 : 35,784.75 = 9,061.92 : x
  2. Step 2: Convert to fraction form
    23,856.50/35,784.75 = 9,061.92/x
  3. Step 3: Cross multiply
    23,856.50x = 35,784.75 × 9,061.92
  4. Step 4: Simplify right side
    23,856.50x = 324,278,541.72
  5. Step 5: Solve for x
    x = 324,278,541.72/23,856.50
  6. Step 6: Final answer
    x = 13,592.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.