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Finding the Fourth Proportional to 22,986.92, 34,479.68 and 6,347.96

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Solution

The fourth proportional to 22,986.92, 34,479.68 and 6,347.96 is: 9,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.92 : 34,479.68 = 6,347.96 : x
  2. Step 2: Convert to fraction form
    22,986.92/34,479.68 = 6,347.96/x
  3. Step 3: Cross multiply
    22,986.92x = 34,479.68 × 6,347.96
  4. Step 4: Simplify right side
    22,986.92x = 218,875,629.45
  5. Step 5: Solve for x
    x = 218,875,629.45/22,986.92
  6. Step 6: Final answer
    x = 9,521.75

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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.