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Finding the Fourth Proportional to 14,616.30, 21,934.14 and 5,382.30

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Solution

The fourth proportional to 14,616.30, 21,934.14 and 5,382.30 is: 8,077.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.30 : 21,934.14 = 5,382.30 : x
  2. Step 2: Convert to fraction form
    14,616.30/21,934.14 = 5,382.30/x
  3. Step 3: Cross multiply
    14,616.30x = 21,934.14 × 5,382.30
  4. Step 4: Simplify right side
    14,616.30x = 118,056,121.72
  5. Step 5: Solve for x
    x = 118,056,121.72/14,616.30
  6. Step 6: Final answer
    x = 8,077.02

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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.