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Finding the Fourth Proportional to 21,867, 32,807.74 and 10,781.32

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Solution

The fourth proportional to 21,867, 32,807.74 and 10,781.32 is: 16,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867 : 32,807.74 = 10,781.32 : x
  2. Step 2: Convert to fraction form
    21,867/32,807.74 = 10,781.32/x
  3. Step 3: Cross multiply
    21,867x = 32,807.74 × 10,781.32
  4. Step 4: Simplify right side
    21,867x = 353,710,743.42
  5. Step 5: Solve for x
    x = 353,710,743.42/21,867
  6. Step 6: Final answer
    x = 16,175.55

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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.