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Finding the Fourth Proportional to 27,417.16, 41,142.12 and 25,186.40

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Solution

The fourth proportional to 27,417.16, 41,142.12 and 25,186.40 is: 37,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.16 : 41,142.12 = 25,186.40 : x
  2. Step 2: Convert to fraction form
    27,417.16/41,142.12 = 25,186.40/x
  3. Step 3: Cross multiply
    27,417.16x = 41,142.12 × 25,186.40
  4. Step 4: Simplify right side
    27,417.16x = 1,036,221,891.17
  5. Step 5: Solve for x
    x = 1,036,221,891.17/27,417.16
  6. Step 6: Final answer
    x = 37,794.65

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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.