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Finding the Fourth Proportional to 23,841.30, 32,901.78 and 13,086.93

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Solution

The fourth proportional to 23,841.30, 32,901.78 and 13,086.93 is: 18,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.30 : 32,901.78 = 13,086.93 : x
  2. Step 2: Convert to fraction form
    23,841.30/32,901.78 = 13,086.93/x
  3. Step 3: Cross multiply
    23,841.30x = 32,901.78 × 13,086.93
  4. Step 4: Simplify right side
    23,841.30x = 430,583,291.74
  5. Step 5: Solve for x
    x = 430,583,291.74/23,841.30
  6. Step 6: Final answer
    x = 18,060.39

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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.