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Finding the Fourth Proportional to 24,597.98, 33,944.00 and 13,987.38

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Solution

The fourth proportional to 24,597.98, 33,944.00 and 13,987.38 is: 19,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.98 : 33,944.00 = 13,987.38 : x
  2. Step 2: Convert to fraction form
    24,597.98/33,944.00 = 13,987.38/x
  3. Step 3: Cross multiply
    24,597.98x = 33,944.00 × 13,987.38
  4. Step 4: Simplify right side
    24,597.98x = 474,787,556.78
  5. Step 5: Solve for x
    x = 474,787,556.78/24,597.98
  6. Step 6: Final answer
    x = 19,301.90

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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.