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Finding the Fourth Proportional to 22,827.38, 34,193.90 and 13,438.46

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Solution

The fourth proportional to 22,827.38, 34,193.90 and 13,438.46 is: 20,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.38 : 34,193.90 = 13,438.46 : x
  2. Step 2: Convert to fraction form
    22,827.38/34,193.90 = 13,438.46/x
  3. Step 3: Cross multiply
    22,827.38x = 34,193.90 × 13,438.46
  4. Step 4: Simplify right side
    22,827.38x = 459,513,357.39
  5. Step 5: Solve for x
    x = 459,513,357.39/22,827.38
  6. Step 6: Final answer
    x = 20,129.93

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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.