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Finding the Fourth Proportional to 21,641.10, 32,513.67 and 20,446.28

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Solution

The fourth proportional to 21,641.10, 32,513.67 and 20,446.28 is: 30,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.10 : 32,513.67 = 20,446.28 : x
  2. Step 2: Convert to fraction form
    21,641.10/32,513.67 = 20,446.28/x
  3. Step 3: Cross multiply
    21,641.10x = 32,513.67 × 20,446.28
  4. Step 4: Simplify right side
    21,641.10x = 664,783,681.93
  5. Step 5: Solve for x
    x = 664,783,681.93/21,641.10
  6. Step 6: Final answer
    x = 30,718.57

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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.