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Finding the Fourth Proportional to 27,774.75, 38,329.16 and 15,199.50

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Solution

The fourth proportional to 27,774.75, 38,329.16 and 15,199.50 is: 20,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.75 : 38,329.16 = 15,199.50 : x
  2. Step 2: Convert to fraction form
    27,774.75/38,329.16 = 15,199.50/x
  3. Step 3: Cross multiply
    27,774.75x = 38,329.16 × 15,199.50
  4. Step 4: Simplify right side
    27,774.75x = 582,583,991.42
  5. Step 5: Solve for x
    x = 582,583,991.42/27,774.75
  6. Step 6: Final answer
    x = 20,975.31

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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.