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Finding the Fourth Proportional to 14,020.12, 21,022.98 and 8,188.12

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Solution

The fourth proportional to 14,020.12, 21,022.98 and 8,188.12 is: 12,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.12 : 21,022.98 = 8,188.12 : x
  2. Step 2: Convert to fraction form
    14,020.12/21,022.98 = 8,188.12/x
  3. Step 3: Cross multiply
    14,020.12x = 21,022.98 × 8,188.12
  4. Step 4: Simplify right side
    14,020.12x = 172,138,683.00
  5. Step 5: Solve for x
    x = 172,138,683.00/14,020.12
  6. Step 6: Final answer
    x = 12,277.98

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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.