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Finding the Fourth Proportional to 23,022.64, 34,534.13 and 7,440.27

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Solution

The fourth proportional to 23,022.64, 34,534.13 and 7,440.27 is: 11,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.64 : 34,534.13 = 7,440.27 : x
  2. Step 2: Convert to fraction form
    23,022.64/34,534.13 = 7,440.27/x
  3. Step 3: Cross multiply
    23,022.64x = 34,534.13 × 7,440.27
  4. Step 4: Simplify right side
    23,022.64x = 256,943,251.42
  5. Step 5: Solve for x
    x = 256,943,251.42/23,022.64
  6. Step 6: Final answer
    x = 11,160.46

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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.