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Finding the Fourth Proportional to 15,193.10, 22,789.65 and 9,944.30

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Solution

The fourth proportional to 15,193.10, 22,789.65 and 9,944.30 is: 14,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193.10 : 22,789.65 = 9,944.30 : x
  2. Step 2: Convert to fraction form
    15,193.10/22,789.65 = 9,944.30/x
  3. Step 3: Cross multiply
    15,193.10x = 22,789.65 × 9,944.30
  4. Step 4: Simplify right side
    15,193.10x = 226,627,116.50
  5. Step 5: Solve for x
    x = 226,627,116.50/15,193.10
  6. Step 6: Final answer
    x = 14,916.45

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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.