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Finding the Fourth Proportional to 21,874.16, 32,780.28 and 12,494.96

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Solution

The fourth proportional to 21,874.16, 32,780.28 and 12,494.96 is: 18,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.16 : 32,780.28 = 12,494.96 : x
  2. Step 2: Convert to fraction form
    21,874.16/32,780.28 = 12,494.96/x
  3. Step 3: Cross multiply
    21,874.16x = 32,780.28 × 12,494.96
  4. Step 4: Simplify right side
    21,874.16x = 409,588,287.39
  5. Step 5: Solve for x
    x = 409,588,287.39/21,874.16
  6. Step 6: Final answer
    x = 18,724.76

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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.