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Finding the Fourth Proportional to 15,801.92, 23,724.48 and 8,881.28

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Solution

The fourth proportional to 15,801.92, 23,724.48 and 8,881.28 is: 13,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.92 : 23,724.48 = 8,881.28 : x
  2. Step 2: Convert to fraction form
    15,801.92/23,724.48 = 8,881.28/x
  3. Step 3: Cross multiply
    15,801.92x = 23,724.48 × 8,881.28
  4. Step 4: Simplify right side
    15,801.92x = 210,703,749.73
  5. Step 5: Solve for x
    x = 210,703,749.73/15,801.92
  6. Step 6: Final answer
    x = 13,334.06

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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.