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Finding the Fourth Proportional to 24,272.88, 36,386.64 and 11,112

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Solution

The fourth proportional to 24,272.88, 36,386.64 and 11,112 is: 16,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272.88 : 36,386.64 = 11,112 : x
  2. Step 2: Convert to fraction form
    24,272.88/36,386.64 = 11,112/x
  3. Step 3: Cross multiply
    24,272.88x = 36,386.64 × 11,112
  4. Step 4: Simplify right side
    24,272.88x = 404,328,343.68
  5. Step 5: Solve for x
    x = 404,328,343.68/24,272.88
  6. Step 6: Final answer
    x = 16,657.62

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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.