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Finding the Fourth Proportional to 27,767.56, 38,317.71 and 15,191.50

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Solution

The fourth proportional to 27,767.56, 38,317.71 and 15,191.50 is: 20,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.56 : 38,317.71 = 15,191.50 : x
  2. Step 2: Convert to fraction form
    27,767.56/38,317.71 = 15,191.50/x
  3. Step 3: Cross multiply
    27,767.56x = 38,317.71 × 15,191.50
  4. Step 4: Simplify right side
    27,767.56x = 582,103,491.47
  5. Step 5: Solve for x
    x = 582,103,491.47/27,767.56
  6. Step 6: Final answer
    x = 20,963.44

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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.