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Finding the Fourth Proportional to 21,566.47, 32,333.27 and 6,766.86

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Solution

The fourth proportional to 21,566.47, 32,333.27 and 6,766.86 is: 10,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,566.47 : 32,333.27 = 6,766.86 : x
  2. Step 2: Convert to fraction form
    21,566.47/32,333.27 = 6,766.86/x
  3. Step 3: Cross multiply
    21,566.47x = 32,333.27 × 6,766.86
  4. Step 4: Simplify right side
    21,566.47x = 218,794,711.43
  5. Step 5: Solve for x
    x = 218,794,711.43/21,566.47
  6. Step 6: Final answer
    x = 10,145.13

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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.