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Finding the Fourth Proportional to 23,841.61, 32,901.80 and 13,231.28

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Solution

The fourth proportional to 23,841.61, 32,901.80 and 13,231.28 is: 18,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.61 : 32,901.80 = 13,231.28 : x
  2. Step 2: Convert to fraction form
    23,841.61/32,901.80 = 13,231.28/x
  3. Step 3: Cross multiply
    23,841.61x = 32,901.80 × 13,231.28
  4. Step 4: Simplify right side
    23,841.61x = 435,332,944.40
  5. Step 5: Solve for x
    x = 435,332,944.40/23,841.61
  6. Step 6: Final answer
    x = 18,259.38

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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.