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Finding the Fourth Proportional to 22,801.65, 34,139.49 and 11,684.40

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Solution

The fourth proportional to 22,801.65, 34,139.49 and 11,684.40 is: 17,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.65 : 34,139.49 = 11,684.40 : x
  2. Step 2: Convert to fraction form
    22,801.65/34,139.49 = 11,684.40/x
  3. Step 3: Cross multiply
    22,801.65x = 34,139.49 × 11,684.40
  4. Step 4: Simplify right side
    22,801.65x = 398,899,456.96
  5. Step 5: Solve for x
    x = 398,899,456.96/22,801.65
  6. Step 6: Final answer
    x = 17,494.32

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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.