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Finding the Fourth Proportional to 27,672.40, 41,503.20 and 8,947.90

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Solution

The fourth proportional to 27,672.40, 41,503.20 and 8,947.90 is: 13,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.40 : 41,503.20 = 8,947.90 : x
  2. Step 2: Convert to fraction form
    27,672.40/41,503.20 = 8,947.90/x
  3. Step 3: Cross multiply
    27,672.40x = 41,503.20 × 8,947.90
  4. Step 4: Simplify right side
    27,672.40x = 371,366,483.28
  5. Step 5: Solve for x
    x = 371,366,483.28/27,672.40
  6. Step 6: Final answer
    x = 13,420.10

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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.