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Finding the Fourth Proportional to 22,708.92, 34,051.03 and 7,913.87

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Solution

The fourth proportional to 22,708.92, 34,051.03 and 7,913.87 is: 11,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.92 : 34,051.03 = 7,913.87 : x
  2. Step 2: Convert to fraction form
    22,708.92/34,051.03 = 7,913.87/x
  3. Step 3: Cross multiply
    22,708.92x = 34,051.03 × 7,913.87
  4. Step 4: Simplify right side
    22,708.92x = 269,475,214.96
  5. Step 5: Solve for x
    x = 269,475,214.96/22,708.92
  6. Step 6: Final answer
    x = 11,866.49

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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.