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Finding the Fourth Proportional to 14,111.14, 21,164.98 and 8,191.25

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Solution

The fourth proportional to 14,111.14, 21,164.98 and 8,191.25 is: 12,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.14 : 21,164.98 = 8,191.25 : x
  2. Step 2: Convert to fraction form
    14,111.14/21,164.98 = 8,191.25/x
  3. Step 3: Cross multiply
    14,111.14x = 21,164.98 × 8,191.25
  4. Step 4: Simplify right side
    14,111.14x = 173,367,674.86
  5. Step 5: Solve for x
    x = 173,367,674.86/14,111.14
  6. Step 6: Final answer
    x = 12,285.88

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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.