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Finding the Fourth Proportional to 21,621.50, 32,432.25 and 5,205.50

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Solution

The fourth proportional to 21,621.50, 32,432.25 and 5,205.50 is: 7,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621.50 : 32,432.25 = 5,205.50 : x
  2. Step 2: Convert to fraction form
    21,621.50/32,432.25 = 5,205.50/x
  3. Step 3: Cross multiply
    21,621.50x = 32,432.25 × 5,205.50
  4. Step 4: Simplify right side
    21,621.50x = 168,826,077.38
  5. Step 5: Solve for x
    x = 168,826,077.38/21,621.50
  6. Step 6: Final answer
    x = 7,808.25

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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.