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Finding the Fourth Proportional to 22,148.16, 33,228 and 6,565.44

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Solution

The fourth proportional to 22,148.16, 33,228 and 6,565.44 is: 9,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.16 : 33,228 = 6,565.44 : x
  2. Step 2: Convert to fraction form
    22,148.16/33,228 = 6,565.44/x
  3. Step 3: Cross multiply
    22,148.16x = 33,228 × 6,565.44
  4. Step 4: Simplify right side
    22,148.16x = 218,156,440.32
  5. Step 5: Solve for x
    x = 218,156,440.32/22,148.16
  6. Step 6: Final answer
    x = 9,849.87

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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.