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Finding the Fourth Proportional to 27,659.68, 41,466 and 12,877.16

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Solution

The fourth proportional to 27,659.68, 41,466 and 12,877.16 is: 19,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659.68 : 41,466 = 12,877.16 : x
  2. Step 2: Convert to fraction form
    27,659.68/41,466 = 12,877.16/x
  3. Step 3: Cross multiply
    27,659.68x = 41,466 × 12,877.16
  4. Step 4: Simplify right side
    27,659.68x = 533,964,316.56
  5. Step 5: Solve for x
    x = 533,964,316.56/27,659.68
  6. Step 6: Final answer
    x = 19,304.79

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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.