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Finding the Fourth Proportional to 24,971.39, 37,456.02 and 13,871.00

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Solution

The fourth proportional to 24,971.39, 37,456.02 and 13,871.00 is: 20,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.39 : 37,456.02 = 13,871.00 : x
  2. Step 2: Convert to fraction form
    24,971.39/37,456.02 = 13,871.00/x
  3. Step 3: Cross multiply
    24,971.39x = 37,456.02 × 13,871.00
  4. Step 4: Simplify right side
    24,971.39x = 519,552,336.37
  5. Step 5: Solve for x
    x = 519,552,336.37/24,971.39
  6. Step 6: Final answer
    x = 20,805.90

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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.