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Finding the Fourth Proportional to 21,454.25, 32,172.80 and 6,659.19

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Solution

The fourth proportional to 21,454.25, 32,172.80 and 6,659.19 is: 9,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.25 : 32,172.80 = 6,659.19 : x
  2. Step 2: Convert to fraction form
    21,454.25/32,172.80 = 6,659.19/x
  3. Step 3: Cross multiply
    21,454.25x = 32,172.80 × 6,659.19
  4. Step 4: Simplify right side
    21,454.25x = 214,244,754.74
  5. Step 5: Solve for x
    x = 214,244,754.74/21,454.25
  6. Step 6: Final answer
    x = 9,986.12

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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.