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Finding the Fourth Proportional to 23,212.71, 32,034.31 and 13,140.94

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Solution

The fourth proportional to 23,212.71, 32,034.31 and 13,140.94 is: 18,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.71 : 32,034.31 = 13,140.94 : x
  2. Step 2: Convert to fraction form
    23,212.71/32,034.31 = 13,140.94/x
  3. Step 3: Cross multiply
    23,212.71x = 32,034.31 × 13,140.94
  4. Step 4: Simplify right side
    23,212.71x = 420,960,945.65
  5. Step 5: Solve for x
    x = 420,960,945.65/23,212.71
  6. Step 6: Final answer
    x = 18,134.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.