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Finding the Fourth Proportional to 22,788.64, 34,187.76 and 7,204

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Solution

The fourth proportional to 22,788.64, 34,187.76 and 7,204 is: 10,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788.64 : 34,187.76 = 7,204 : x
  2. Step 2: Convert to fraction form
    22,788.64/34,187.76 = 7,204/x
  3. Step 3: Cross multiply
    22,788.64x = 34,187.76 × 7,204
  4. Step 4: Simplify right side
    22,788.64x = 246,288,623.04
  5. Step 5: Solve for x
    x = 246,288,623.04/22,788.64
  6. Step 6: Final answer
    x = 10,807.52

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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.