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Finding the Fourth Proportional to 22,857.46, 34,282.02 and 10,374.52

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Solution

The fourth proportional to 22,857.46, 34,282.02 and 10,374.52 is: 15,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.46 : 34,282.02 = 10,374.52 : x
  2. Step 2: Convert to fraction form
    22,857.46/34,282.02 = 10,374.52/x
  3. Step 3: Cross multiply
    22,857.46x = 34,282.02 × 10,374.52
  4. Step 4: Simplify right side
    22,857.46x = 355,659,502.13
  5. Step 5: Solve for x
    x = 355,659,502.13/22,857.46
  6. Step 6: Final answer
    x = 15,559.89

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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.