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Finding the Fourth Proportional to 27,154.80, 40,717.44 and 8,429.76

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Solution

The fourth proportional to 27,154.80, 40,717.44 and 8,429.76 is: 12,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,154.80 : 40,717.44 = 8,429.76 : x
  2. Step 2: Convert to fraction form
    27,154.80/40,717.44 = 8,429.76/x
  3. Step 3: Cross multiply
    27,154.80x = 40,717.44 × 8,429.76
  4. Step 4: Simplify right side
    27,154.80x = 343,238,247.01
  5. Step 5: Solve for x
    x = 343,238,247.01/27,154.80
  6. Step 6: Final answer
    x = 12,640.06

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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.