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Finding the Fourth Proportional to 22,676.43, 34,020.76 and 7,886.17

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Solution

The fourth proportional to 22,676.43, 34,020.76 and 7,886.17 is: 11,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.43 : 34,020.76 = 7,886.17 : x
  2. Step 2: Convert to fraction form
    22,676.43/34,020.76 = 7,886.17/x
  3. Step 3: Cross multiply
    22,676.43x = 34,020.76 × 7,886.17
  4. Step 4: Simplify right side
    22,676.43x = 268,293,496.89
  5. Step 5: Solve for x
    x = 268,293,496.89/22,676.43
  6. Step 6: Final answer
    x = 11,831.38

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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.