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Finding the Fourth Proportional to 22,709.96, 34,060.88 and 6,911.15

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Solution

The fourth proportional to 22,709.96, 34,060.88 and 6,911.15 is: 10,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.96 : 34,060.88 = 6,911.15 : x
  2. Step 2: Convert to fraction form
    22,709.96/34,060.88 = 6,911.15/x
  3. Step 3: Cross multiply
    22,709.96x = 34,060.88 × 6,911.15
  4. Step 4: Simplify right side
    22,709.96x = 235,399,901.41
  5. Step 5: Solve for x
    x = 235,399,901.41/22,709.96
  6. Step 6: Final answer
    x = 10,365.49

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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.