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Finding the Fourth Proportional to 24,761.72, 37,114.64 and 12,290.64

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Solution

The fourth proportional to 24,761.72, 37,114.64 and 12,290.64 is: 18,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,761.72 : 37,114.64 = 12,290.64 : x
  2. Step 2: Convert to fraction form
    24,761.72/37,114.64 = 12,290.64/x
  3. Step 3: Cross multiply
    24,761.72x = 37,114.64 × 12,290.64
  4. Step 4: Simplify right side
    24,761.72x = 456,162,678.97
  5. Step 5: Solve for x
    x = 456,162,678.97/24,761.72
  6. Step 6: Final answer
    x = 18,422.09

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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.