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Finding the Fourth Proportional to 24,047.28, 36,074.80 and 7,407.31

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Solution

The fourth proportional to 24,047.28, 36,074.80 and 7,407.31 is: 11,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.28 : 36,074.80 = 7,407.31 : x
  2. Step 2: Convert to fraction form
    24,047.28/36,074.80 = 7,407.31/x
  3. Step 3: Cross multiply
    24,047.28x = 36,074.80 × 7,407.31
  4. Step 4: Simplify right side
    24,047.28x = 267,217,226.79
  5. Step 5: Solve for x
    x = 267,217,226.79/24,047.28
  6. Step 6: Final answer
    x = 11,112.16

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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.