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Finding the Fourth Proportional to 22,914.50, 34,360.68 and 8,864.24

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Solution

The fourth proportional to 22,914.50, 34,360.68 and 8,864.24 is: 13,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.50 : 34,360.68 = 8,864.24 : x
  2. Step 2: Convert to fraction form
    22,914.50/34,360.68 = 8,864.24/x
  3. Step 3: Cross multiply
    22,914.50x = 34,360.68 × 8,864.24
  4. Step 4: Simplify right side
    22,914.50x = 304,581,314.08
  5. Step 5: Solve for x
    x = 304,581,314.08/22,914.50
  6. Step 6: Final answer
    x = 13,292.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.