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Finding the Fourth Proportional to 15,177.16, 20,944.39 and 8,462.87

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Solution

The fourth proportional to 15,177.16, 20,944.39 and 8,462.87 is: 11,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.16 : 20,944.39 = 8,462.87 : x
  2. Step 2: Convert to fraction form
    15,177.16/20,944.39 = 8,462.87/x
  3. Step 3: Cross multiply
    15,177.16x = 20,944.39 × 8,462.87
  4. Step 4: Simplify right side
    15,177.16x = 177,249,502.76
  5. Step 5: Solve for x
    x = 177,249,502.76/15,177.16
  6. Step 6: Final answer
    x = 11,678.70

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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.