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Finding the Fourth Proportional to 23,902.66, 32,981.79 and 13,292.02

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Solution

The fourth proportional to 23,902.66, 32,981.79 and 13,292.02 is: 18,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.66 : 32,981.79 = 13,292.02 : x
  2. Step 2: Convert to fraction form
    23,902.66/32,981.79 = 13,292.02/x
  3. Step 3: Cross multiply
    23,902.66x = 32,981.79 × 13,292.02
  4. Step 4: Simplify right side
    23,902.66x = 438,394,612.32
  5. Step 5: Solve for x
    x = 438,394,612.32/23,902.66
  6. Step 6: Final answer
    x = 18,340.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.