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Finding the Fourth Proportional to 22,709.87, 34,065.99 and 6,913.68

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Solution

The fourth proportional to 22,709.87, 34,065.99 and 6,913.68 is: 10,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.87 : 34,065.99 = 6,913.68 : x
  2. Step 2: Convert to fraction form
    22,709.87/34,065.99 = 6,913.68/x
  3. Step 3: Cross multiply
    22,709.87x = 34,065.99 × 6,913.68
  4. Step 4: Simplify right side
    22,709.87x = 235,521,353.74
  5. Step 5: Solve for x
    x = 235,521,353.74/22,709.87
  6. Step 6: Final answer
    x = 10,370.88

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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.