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Finding the Fourth Proportional to 27,199.95, 40,801.28 and 9,671.15

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Solution

The fourth proportional to 27,199.95, 40,801.28 and 9,671.15 is: 14,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.95 : 40,801.28 = 9,671.15 : x
  2. Step 2: Convert to fraction form
    27,199.95/40,801.28 = 9,671.15/x
  3. Step 3: Cross multiply
    27,199.95x = 40,801.28 × 9,671.15
  4. Step 4: Simplify right side
    27,199.95x = 394,595,046.71
  5. Step 5: Solve for x
    x = 394,595,046.71/27,199.95
  6. Step 6: Final answer
    x = 14,507.20

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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.