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Finding the Fourth Proportional to 14,487.12, 19,990.80 and 8,198.28

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Solution

The fourth proportional to 14,487.12, 19,990.80 and 8,198.28 is: 11,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.12 : 19,990.80 = 8,198.28 : x
  2. Step 2: Convert to fraction form
    14,487.12/19,990.80 = 8,198.28/x
  3. Step 3: Cross multiply
    14,487.12x = 19,990.80 × 8,198.28
  4. Step 4: Simplify right side
    14,487.12x = 163,890,175.82
  5. Step 5: Solve for x
    x = 163,890,175.82/14,487.12
  6. Step 6: Final answer
    x = 11,312.82

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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.