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Finding the Fourth Proportional to 21,616.10, 32,433.68 and 9,144.73

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Solution

The fourth proportional to 21,616.10, 32,433.68 and 9,144.73 is: 13,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.10 : 32,433.68 = 9,144.73 : x
  2. Step 2: Convert to fraction form
    21,616.10/32,433.68 = 9,144.73/x
  3. Step 3: Cross multiply
    21,616.10x = 32,433.68 × 9,144.73
  4. Step 4: Simplify right side
    21,616.10x = 296,597,246.51
  5. Step 5: Solve for x
    x = 296,597,246.51/21,616.10
  6. Step 6: Final answer
    x = 13,721.13

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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.