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Finding the Fourth Proportional to 23,141.96, 34,708.54 and 11,283.83

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Solution

The fourth proportional to 23,141.96, 34,708.54 and 11,283.83 is: 16,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.96 : 34,708.54 = 11,283.83 : x
  2. Step 2: Convert to fraction form
    23,141.96/34,708.54 = 11,283.83/x
  3. Step 3: Cross multiply
    23,141.96x = 34,708.54 × 11,283.83
  4. Step 4: Simplify right side
    23,141.96x = 391,645,264.91
  5. Step 5: Solve for x
    x = 391,645,264.91/23,141.96
  6. Step 6: Final answer
    x = 16,923.60

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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.