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Finding the Fourth Proportional to 14,617.96, 21,930.18 and 6,822.52

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Solution

The fourth proportional to 14,617.96, 21,930.18 and 6,822.52 is: 10,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.96 : 21,930.18 = 6,822.52 : x
  2. Step 2: Convert to fraction form
    14,617.96/21,930.18 = 6,822.52/x
  3. Step 3: Cross multiply
    14,617.96x = 21,930.18 × 6,822.52
  4. Step 4: Simplify right side
    14,617.96x = 149,619,091.65
  5. Step 5: Solve for x
    x = 149,619,091.65/14,617.96
  6. Step 6: Final answer
    x = 10,235.29

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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.