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Finding the Fourth Proportional to 27,578.64, 38,060.43 and 15,642.75

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Solution

The fourth proportional to 27,578.64, 38,060.43 and 15,642.75 is: 21,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.64 : 38,060.43 = 15,642.75 : x
  2. Step 2: Convert to fraction form
    27,578.64/38,060.43 = 15,642.75/x
  3. Step 3: Cross multiply
    27,578.64x = 38,060.43 × 15,642.75
  4. Step 4: Simplify right side
    27,578.64x = 595,369,791.38
  5. Step 5: Solve for x
    x = 595,369,791.38/27,578.64
  6. Step 6: Final answer
    x = 21,588.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.