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Finding the Fourth Proportional to 27,686.64, 41,537.64 and 15,978.48

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Solution

The fourth proportional to 27,686.64, 41,537.64 and 15,978.48 is: 23,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.64 : 41,537.64 = 15,978.48 : x
  2. Step 2: Convert to fraction form
    27,686.64/41,537.64 = 15,978.48/x
  3. Step 3: Cross multiply
    27,686.64x = 41,537.64 × 15,978.48
  4. Step 4: Simplify right side
    27,686.64x = 663,708,349.99
  5. Step 5: Solve for x
    x = 663,708,349.99/27,686.64
  6. Step 6: Final answer
    x = 23,972.15

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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.