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Finding the Fourth Proportional to 27,765.27, 41,654.03 and 12,966.06

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Solution

The fourth proportional to 27,765.27, 41,654.03 and 12,966.06 is: 19,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.27 : 41,654.03 = 12,966.06 : x
  2. Step 2: Convert to fraction form
    27,765.27/41,654.03 = 12,966.06/x
  3. Step 3: Cross multiply
    27,765.27x = 41,654.03 × 12,966.06
  4. Step 4: Simplify right side
    27,765.27x = 540,088,652.22
  5. Step 5: Solve for x
    x = 540,088,652.22/27,765.27
  6. Step 6: Final answer
    x = 19,451.95

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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.