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Finding the Fourth Proportional to 24,713.76, 37,074.26 and 7,181.31

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Solution

The fourth proportional to 24,713.76, 37,074.26 and 7,181.31 is: 10,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.76 : 37,074.26 = 7,181.31 : x
  2. Step 2: Convert to fraction form
    24,713.76/37,074.26 = 7,181.31/x
  3. Step 3: Cross multiply
    24,713.76x = 37,074.26 × 7,181.31
  4. Step 4: Simplify right side
    24,713.76x = 266,241,718.17
  5. Step 5: Solve for x
    x = 266,241,718.17/24,713.76
  6. Step 6: Final answer
    x = 10,773.02

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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.