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Finding the Fourth Proportional to 12,986.88, 19,474.56 and 8,056.32

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Solution

The fourth proportional to 12,986.88, 19,474.56 and 8,056.32 is: 12,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.88 : 19,474.56 = 8,056.32 : x
  2. Step 2: Convert to fraction form
    12,986.88/19,474.56 = 8,056.32/x
  3. Step 3: Cross multiply
    12,986.88x = 19,474.56 × 8,056.32
  4. Step 4: Simplify right side
    12,986.88x = 156,893,287.22
  5. Step 5: Solve for x
    x = 156,893,287.22/12,986.88
  6. Step 6: Final answer
    x = 12,080.91

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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.