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Finding the Fourth Proportional to 27,775.83, 38,330.67 and 15,200.58

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Solution

The fourth proportional to 27,775.83, 38,330.67 and 15,200.58 is: 20,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.83 : 38,330.67 = 15,200.58 : x
  2. Step 2: Convert to fraction form
    27,775.83/38,330.67 = 15,200.58/x
  3. Step 3: Cross multiply
    27,775.83x = 38,330.67 × 15,200.58
  4. Step 4: Simplify right side
    27,775.83x = 582,648,315.42
  5. Step 5: Solve for x
    x = 582,648,315.42/27,775.83
  6. Step 6: Final answer
    x = 20,976.81

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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.