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Finding the Fourth Proportional to 21,885.60, 32,816.40 and 10,767.84

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Solution

The fourth proportional to 21,885.60, 32,816.40 and 10,767.84 is: 16,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885.60 : 32,816.40 = 10,767.84 : x
  2. Step 2: Convert to fraction form
    21,885.60/32,816.40 = 10,767.84/x
  3. Step 3: Cross multiply
    21,885.60x = 32,816.40 × 10,767.84
  4. Step 4: Simplify right side
    21,885.60x = 353,361,744.58
  5. Step 5: Solve for x
    x = 353,361,744.58/21,885.60
  6. Step 6: Final answer
    x = 16,145.86

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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.