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Finding the Fourth Proportional to 22,959.29, 34,434.90 and 6,315.31

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Solution

The fourth proportional to 22,959.29, 34,434.90 and 6,315.31 is: 9,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.29 : 34,434.90 = 6,315.31 : x
  2. Step 2: Convert to fraction form
    22,959.29/34,434.90 = 6,315.31/x
  3. Step 3: Cross multiply
    22,959.29x = 34,434.90 × 6,315.31
  4. Step 4: Simplify right side
    22,959.29x = 217,467,084.11
  5. Step 5: Solve for x
    x = 217,467,084.11/22,959.29
  6. Step 6: Final answer
    x = 9,471.85

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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.