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Finding the Fourth Proportional to 23,174.15, 34,760.90 and 7,380.16

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Solution

The fourth proportional to 23,174.15, 34,760.90 and 7,380.16 is: 11,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.15 : 34,760.90 = 7,380.16 : x
  2. Step 2: Convert to fraction form
    23,174.15/34,760.90 = 7,380.16/x
  3. Step 3: Cross multiply
    23,174.15x = 34,760.90 × 7,380.16
  4. Step 4: Simplify right side
    23,174.15x = 256,541,089.31
  5. Step 5: Solve for x
    x = 256,541,089.31/23,174.15
  6. Step 6: Final answer
    x = 11,070.14

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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.