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Finding the Fourth Proportional to 27,184.60, 40,780.95 and 9,652.96

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Solution

The fourth proportional to 27,184.60, 40,780.95 and 9,652.96 is: 14,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.60 : 40,780.95 = 9,652.96 : x
  2. Step 2: Convert to fraction form
    27,184.60/40,780.95 = 9,652.96/x
  3. Step 3: Cross multiply
    27,184.60x = 40,780.95 × 9,652.96
  4. Step 4: Simplify right side
    27,184.60x = 393,656,879.11
  5. Step 5: Solve for x
    x = 393,656,879.11/27,184.60
  6. Step 6: Final answer
    x = 14,480.88

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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.