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Finding the Fourth Proportional to 14,854.11, 22,280.06 and 5,489.75

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Solution

The fourth proportional to 14,854.11, 22,280.06 and 5,489.75 is: 8,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.11 : 22,280.06 = 5,489.75 : x
  2. Step 2: Convert to fraction form
    14,854.11/22,280.06 = 5,489.75/x
  3. Step 3: Cross multiply
    14,854.11x = 22,280.06 × 5,489.75
  4. Step 4: Simplify right side
    14,854.11x = 122,311,959.39
  5. Step 5: Solve for x
    x = 122,311,959.39/14,854.11
  6. Step 6: Final answer
    x = 8,234.22

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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.