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Finding the Fourth Proportional to 23,902.41, 32,982.66 and 13,291.41

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Solution

The fourth proportional to 23,902.41, 32,982.66 and 13,291.41 is: 18,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.41 : 32,982.66 = 13,291.41 : x
  2. Step 2: Convert to fraction form
    23,902.41/32,982.66 = 13,291.41/x
  3. Step 3: Cross multiply
    23,902.41x = 32,982.66 × 13,291.41
  4. Step 4: Simplify right side
    23,902.41x = 438,386,056.95
  5. Step 5: Solve for x
    x = 438,386,056.95/23,902.41
  6. Step 6: Final answer
    x = 18,340.66

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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.