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Finding the Fourth Proportional to 22,916.80, 34,355.20 and 8,886.40

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Solution

The fourth proportional to 22,916.80, 34,355.20 and 8,886.40 is: 13,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916.80 : 34,355.20 = 8,886.40 : x
  2. Step 2: Convert to fraction form
    22,916.80/34,355.20 = 8,886.40/x
  3. Step 3: Cross multiply
    22,916.80x = 34,355.20 × 8,886.40
  4. Step 4: Simplify right side
    22,916.80x = 305,294,049.28
  5. Step 5: Solve for x
    x = 305,294,049.28/22,916.80
  6. Step 6: Final answer
    x = 13,321.84

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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.