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Finding the Fourth Proportional to 24,701.76, 37,058.72 and 7,171.74

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Solution

The fourth proportional to 24,701.76, 37,058.72 and 7,171.74 is: 10,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701.76 : 37,058.72 = 7,171.74 : x
  2. Step 2: Convert to fraction form
    24,701.76/37,058.72 = 7,171.74/x
  3. Step 3: Cross multiply
    24,701.76x = 37,058.72 × 7,171.74
  4. Step 4: Simplify right side
    24,701.76x = 265,775,468.71
  5. Step 5: Solve for x
    x = 265,775,468.71/24,701.76
  6. Step 6: Final answer
    x = 10,759.37

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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.