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Finding the Fourth Proportional to 12,725.96, 19,087.52 and 8,032.55

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Solution

The fourth proportional to 12,725.96, 19,087.52 and 8,032.55 is: 12,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.96 : 19,087.52 = 8,032.55 : x
  2. Step 2: Convert to fraction form
    12,725.96/19,087.52 = 8,032.55/x
  3. Step 3: Cross multiply
    12,725.96x = 19,087.52 × 8,032.55
  4. Step 4: Simplify right side
    12,725.96x = 153,321,323.18
  5. Step 5: Solve for x
    x = 153,321,323.18/12,725.96
  6. Step 6: Final answer
    x = 12,047.92

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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.