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Finding the Fourth Proportional to 27,170.39, 40,756.95 and 9,641.58

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Solution

The fourth proportional to 27,170.39, 40,756.95 and 9,641.58 is: 14,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.39 : 40,756.95 = 9,641.58 : x
  2. Step 2: Convert to fraction form
    27,170.39/40,756.95 = 9,641.58/x
  3. Step 3: Cross multiply
    27,170.39x = 40,756.95 × 9,641.58
  4. Step 4: Simplify right side
    27,170.39x = 392,961,393.98
  5. Step 5: Solve for x
    x = 392,961,393.98/27,170.39
  6. Step 6: Final answer
    x = 14,462.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.