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Finding the Fourth Proportional to 22,854.84, 34,211.16 and 20,916.96

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Solution

The fourth proportional to 22,854.84, 34,211.16 and 20,916.96 is: 31,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.84 : 34,211.16 = 20,916.96 : x
  2. Step 2: Convert to fraction form
    22,854.84/34,211.16 = 20,916.96/x
  3. Step 3: Cross multiply
    22,854.84x = 34,211.16 × 20,916.96
  4. Step 4: Simplify right side
    22,854.84x = 715,593,465.27
  5. Step 5: Solve for x
    x = 715,593,465.27/22,854.84
  6. Step 6: Final answer
    x = 31,310.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.