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Finding the Fourth Proportional to 20,250, 27,946.08 and 11,869.20

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Solution

The fourth proportional to 20,250, 27,946.08 and 11,869.20 is: 16,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,250 : 27,946.08 = 11,869.20 : x
  2. Step 2: Convert to fraction form
    20,250/27,946.08 = 11,869.20/x
  3. Step 3: Cross multiply
    20,250x = 27,946.08 × 11,869.20
  4. Step 4: Simplify right side
    20,250x = 331,697,612.74
  5. Step 5: Solve for x
    x = 331,697,612.74/20,250
  6. Step 6: Final answer
    x = 16,380.13

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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.