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Finding the Fourth Proportional to 22,769.10, 34,117.20 and 14,434.20

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Solution

The fourth proportional to 22,769.10, 34,117.20 and 14,434.20 is: 21,628.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.10 : 34,117.20 = 14,434.20 : x
  2. Step 2: Convert to fraction form
    22,769.10/34,117.20 = 14,434.20/x
  3. Step 3: Cross multiply
    22,769.10x = 34,117.20 × 14,434.20
  4. Step 4: Simplify right side
    22,769.10x = 492,454,488.24
  5. Step 5: Solve for x
    x = 492,454,488.24/22,769.10
  6. Step 6: Final answer
    x = 21,628.19

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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.