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Finding the Fourth Proportional to 24,918.64, 37,377.72 and 8,279.89

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Solution

The fourth proportional to 24,918.64, 37,377.72 and 8,279.89 is: 12,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,918.64 : 37,377.72 = 8,279.89 : x
  2. Step 2: Convert to fraction form
    24,918.64/37,377.72 = 8,279.89/x
  3. Step 3: Cross multiply
    24,918.64x = 37,377.72 × 8,279.89
  4. Step 4: Simplify right side
    24,918.64x = 309,483,316.61
  5. Step 5: Solve for x
    x = 309,483,316.61/24,918.64
  6. Step 6: Final answer
    x = 12,419.75

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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.