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Finding the Fourth Proportional to 22,903.26, 34,358.15 and 7,109.65

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Solution

The fourth proportional to 22,903.26, 34,358.15 and 7,109.65 is: 10,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.26 : 34,358.15 = 7,109.65 : x
  2. Step 2: Convert to fraction form
    22,903.26/34,358.15 = 7,109.65/x
  3. Step 3: Cross multiply
    22,903.26x = 34,358.15 × 7,109.65
  4. Step 4: Simplify right side
    22,903.26x = 244,274,421.15
  5. Step 5: Solve for x
    x = 244,274,421.15/22,903.26
  6. Step 6: Final answer
    x = 10,665.49

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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.