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Finding the Fourth Proportional to 27,775.41, 38,330.14 and 15,200.16

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Solution

The fourth proportional to 27,775.41, 38,330.14 and 15,200.16 is: 20,976.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.41 : 38,330.14 = 15,200.16 : x
  2. Step 2: Convert to fraction form
    27,775.41/38,330.14 = 15,200.16/x
  3. Step 3: Cross multiply
    27,775.41x = 38,330.14 × 15,200.16
  4. Step 4: Simplify right side
    27,775.41x = 582,624,064.83
  5. Step 5: Solve for x
    x = 582,624,064.83/27,775.41
  6. Step 6: Final answer
    x = 20,976.26

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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.