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Finding the Fourth Proportional to 24,998, 37,486.68 and 10,196.88

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Solution

The fourth proportional to 24,998, 37,486.68 and 10,196.88 is: 15,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,998 : 37,486.68 = 10,196.88 : x
  2. Step 2: Convert to fraction form
    24,998/37,486.68 = 10,196.88/x
  3. Step 3: Cross multiply
    24,998x = 37,486.68 × 10,196.88
  4. Step 4: Simplify right side
    24,998x = 382,247,177.56
  5. Step 5: Solve for x
    x = 382,247,177.56/24,998
  6. Step 6: Final answer
    x = 15,291.11

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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.