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Finding the Fourth Proportional to 27,774.28, 38,329.46 and 15,199

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Solution

The fourth proportional to 27,774.28, 38,329.46 and 15,199 is: 20,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.28 : 38,329.46 = 15,199 : x
  2. Step 2: Convert to fraction form
    27,774.28/38,329.46 = 15,199/x
  3. Step 3: Cross multiply
    27,774.28x = 38,329.46 × 15,199
  4. Step 4: Simplify right side
    27,774.28x = 582,569,462.54
  5. Step 5: Solve for x
    x = 582,569,462.54/27,774.28
  6. Step 6: Final answer
    x = 20,975.14

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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.