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Finding the Fourth Proportional to 23,713.92, 35,576.16 and 7,074.24

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Solution

The fourth proportional to 23,713.92, 35,576.16 and 7,074.24 is: 10,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.92 : 35,576.16 = 7,074.24 : x
  2. Step 2: Convert to fraction form
    23,713.92/35,576.16 = 7,074.24/x
  3. Step 3: Cross multiply
    23,713.92x = 35,576.16 × 7,074.24
  4. Step 4: Simplify right side
    23,713.92x = 251,674,294.12
  5. Step 5: Solve for x
    x = 251,674,294.12/23,713.92
  6. Step 6: Final answer
    x = 10,612.94

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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.