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Finding the Fourth Proportional to 14,640.90, 21,964.40 and 5,876.50

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Solution

The fourth proportional to 14,640.90, 21,964.40 and 5,876.50 is: 8,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.90 : 21,964.40 = 5,876.50 : x
  2. Step 2: Convert to fraction form
    14,640.90/21,964.40 = 5,876.50/x
  3. Step 3: Cross multiply
    14,640.90x = 21,964.40 × 5,876.50
  4. Step 4: Simplify right side
    14,640.90x = 129,073,775.53
  5. Step 5: Solve for x
    x = 129,073,775.53/14,640.90
  6. Step 6: Final answer
    x = 8,815.97

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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.