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Finding the Fourth Proportional to 22,864, 34,301.76 and 6,448

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Solution

The fourth proportional to 22,864, 34,301.76 and 6,448 is: 9,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864 : 34,301.76 = 6,448 : x
  2. Step 2: Convert to fraction form
    22,864/34,301.76 = 6,448/x
  3. Step 3: Cross multiply
    22,864x = 34,301.76 × 6,448
  4. Step 4: Simplify right side
    22,864x = 221,177,748.48
  5. Step 5: Solve for x
    x = 221,177,748.48/22,864
  6. Step 6: Final answer
    x = 9,673.62

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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.