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Finding the Fourth Proportional to 15,149.78, 20,904.22 and 8,435.24

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Solution

The fourth proportional to 15,149.78, 20,904.22 and 8,435.24 is: 11,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.78 : 20,904.22 = 8,435.24 : x
  2. Step 2: Convert to fraction form
    15,149.78/20,904.22 = 8,435.24/x
  3. Step 3: Cross multiply
    15,149.78x = 20,904.22 × 8,435.24
  4. Step 4: Simplify right side
    15,149.78x = 176,332,112.71
  5. Step 5: Solve for x
    x = 176,332,112.71/15,149.78
  6. Step 6: Final answer
    x = 11,639.25

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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.