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Finding the Fourth Proportional to 27,774.78, 38,328.96 and 15,199.50

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Solution

The fourth proportional to 27,774.78, 38,328.96 and 15,199.50 is: 20,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.78 : 38,328.96 = 15,199.50 : x
  2. Step 2: Convert to fraction form
    27,774.78/38,328.96 = 15,199.50/x
  3. Step 3: Cross multiply
    27,774.78x = 38,328.96 × 15,199.50
  4. Step 4: Simplify right side
    27,774.78x = 582,581,027.52
  5. Step 5: Solve for x
    x = 582,581,027.52/27,774.78
  6. Step 6: Final answer
    x = 20,975.18

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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.