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Finding the Fourth Proportional to 24,704.76, 37,058.16 and 7,174.59

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Solution

The fourth proportional to 24,704.76, 37,058.16 and 7,174.59 is: 10,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.76 : 37,058.16 = 7,174.59 : x
  2. Step 2: Convert to fraction form
    24,704.76/37,058.16 = 7,174.59/x
  3. Step 3: Cross multiply
    24,704.76x = 37,058.16 × 7,174.59
  4. Step 4: Simplify right side
    24,704.76x = 265,876,936.80
  5. Step 5: Solve for x
    x = 265,876,936.80/24,704.76
  6. Step 6: Final answer
    x = 10,762.18

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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.