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Finding the Fourth Proportional to 24,750.72, 37,100.16 and 11,592

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Solution

The fourth proportional to 24,750.72, 37,100.16 and 11,592 is: 17,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750.72 : 37,100.16 = 11,592 : x
  2. Step 2: Convert to fraction form
    24,750.72/37,100.16 = 11,592/x
  3. Step 3: Cross multiply
    24,750.72x = 37,100.16 × 11,592
  4. Step 4: Simplify right side
    24,750.72x = 430,065,054.72
  5. Step 5: Solve for x
    x = 430,065,054.72/24,750.72
  6. Step 6: Final answer
    x = 17,375.86

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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.