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Finding the Fourth Proportional to 27,758.16, 38,307.17 and 15,182.91

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Solution

The fourth proportional to 27,758.16, 38,307.17 and 15,182.91 is: 20,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758.16 : 38,307.17 = 15,182.91 : x
  2. Step 2: Convert to fraction form
    27,758.16/38,307.17 = 15,182.91/x
  3. Step 3: Cross multiply
    27,758.16x = 38,307.17 × 15,182.91
  4. Step 4: Simplify right side
    27,758.16x = 581,614,238.55
  5. Step 5: Solve for x
    x = 581,614,238.55/27,758.16
  6. Step 6: Final answer
    x = 20,952.91

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