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Finding the Fourth Proportional to 24,704.88, 37,058.35 and 7,174.71

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Solution

The fourth proportional to 24,704.88, 37,058.35 and 7,174.71 is: 10,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.88 : 37,058.35 = 7,174.71 : x
  2. Step 2: Convert to fraction form
    24,704.88/37,058.35 = 7,174.71/x
  3. Step 3: Cross multiply
    24,704.88x = 37,058.35 × 7,174.71
  4. Step 4: Simplify right side
    24,704.88x = 265,882,914.33
  5. Step 5: Solve for x
    x = 265,882,914.33/24,704.88
  6. Step 6: Final answer
    x = 10,762.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.