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Finding the Fourth Proportional to 12,785.52, 19,182.12 and 8,134.32

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Solution

The fourth proportional to 12,785.52, 19,182.12 and 8,134.32 is: 12,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.52 : 19,182.12 = 8,134.32 : x
  2. Step 2: Convert to fraction form
    12,785.52/19,182.12 = 8,134.32/x
  3. Step 3: Cross multiply
    12,785.52x = 19,182.12 × 8,134.32
  4. Step 4: Simplify right side
    12,785.52x = 156,033,502.36
  5. Step 5: Solve for x
    x = 156,033,502.36/12,785.52
  6. Step 6: Final answer
    x = 12,203.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.