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Finding the Fourth Proportional to 20,207.68, 27,888 and 12,250.24

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Solution

The fourth proportional to 20,207.68, 27,888 and 12,250.24 is: 16,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.68 : 27,888 = 12,250.24 : x
  2. Step 2: Convert to fraction form
    20,207.68/27,888 = 12,250.24/x
  3. Step 3: Cross multiply
    20,207.68x = 27,888 × 12,250.24
  4. Step 4: Simplify right side
    20,207.68x = 341,634,693.12
  5. Step 5: Solve for x
    x = 341,634,693.12/20,207.68
  6. Step 6: Final answer
    x = 16,906.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.