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Finding the Fourth Proportional to 22,699.94, 34,056.06 and 7,909.70

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Solution

The fourth proportional to 22,699.94, 34,056.06 and 7,909.70 is: 11,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699.94 : 34,056.06 = 7,909.70 : x
  2. Step 2: Convert to fraction form
    22,699.94/34,056.06 = 7,909.70/x
  3. Step 3: Cross multiply
    22,699.94x = 34,056.06 × 7,909.70
  4. Step 4: Simplify right side
    22,699.94x = 269,373,217.78
  5. Step 5: Solve for x
    x = 269,373,217.78/22,699.94
  6. Step 6: Final answer
    x = 11,866.69

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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.