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Finding the Fourth Proportional to 27,460.80, 41,182.68 and 11,665.68

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Solution

The fourth proportional to 27,460.80, 41,182.68 and 11,665.68 is: 17,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.80 : 41,182.68 = 11,665.68 : x
  2. Step 2: Convert to fraction form
    27,460.80/41,182.68 = 11,665.68/x
  3. Step 3: Cross multiply
    27,460.80x = 41,182.68 × 11,665.68
  4. Step 4: Simplify right side
    27,460.80x = 480,423,966.42
  5. Step 5: Solve for x
    x = 480,423,966.42/27,460.80
  6. Step 6: Final answer
    x = 17,494.90

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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.