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Finding the Fourth Proportional to 22,914.24, 34,375.68 and 9,064.32

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Solution

The fourth proportional to 22,914.24, 34,375.68 and 9,064.32 is: 13,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,914.24 : 34,375.68 = 9,064.32 : x
  2. Step 2: Convert to fraction form
    22,914.24/34,375.68 = 9,064.32/x
  3. Step 3: Cross multiply
    22,914.24x = 34,375.68 × 9,064.32
  4. Step 4: Simplify right side
    22,914.24x = 311,592,163.74
  5. Step 5: Solve for x
    x = 311,592,163.74/22,914.24
  6. Step 6: Final answer
    x = 13,598.19

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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.