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Finding the Fourth Proportional to 21,611.98, 32,422.56 and 6,825.16

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Solution

The fourth proportional to 21,611.98, 32,422.56 and 6,825.16 is: 10,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.98 : 32,422.56 = 6,825.16 : x
  2. Step 2: Convert to fraction form
    21,611.98/32,422.56 = 6,825.16/x
  3. Step 3: Cross multiply
    21,611.98x = 32,422.56 × 6,825.16
  4. Step 4: Simplify right side
    21,611.98x = 221,289,159.61
  5. Step 5: Solve for x
    x = 221,289,159.61/21,611.98
  6. Step 6: Final answer
    x = 10,239.19

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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.