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Finding the Fourth Proportional to 21,571.40, 32,357.08 and 6,781.61

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Solution

The fourth proportional to 21,571.40, 32,357.08 and 6,781.61 is: 10,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.40 : 32,357.08 = 6,781.61 : x
  2. Step 2: Convert to fraction form
    21,571.40/32,357.08 = 6,781.61/x
  3. Step 3: Cross multiply
    21,571.40x = 32,357.08 × 6,781.61
  4. Step 4: Simplify right side
    21,571.40x = 219,433,080.34
  5. Step 5: Solve for x
    x = 219,433,080.34/21,571.40
  6. Step 6: Final answer
    x = 10,172.41

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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.