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Finding the Fourth Proportional to 27,434.64, 41,151.60 and 7,712.16

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Solution

The fourth proportional to 27,434.64, 41,151.60 and 7,712.16 is: 11,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434.64 : 41,151.60 = 7,712.16 : x
  2. Step 2: Convert to fraction form
    27,434.64/41,151.60 = 7,712.16/x
  3. Step 3: Cross multiply
    27,434.64x = 41,151.60 × 7,712.16
  4. Step 4: Simplify right side
    27,434.64x = 317,367,723.46
  5. Step 5: Solve for x
    x = 317,367,723.46/27,434.64
  6. Step 6: Final answer
    x = 11,568.14

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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.