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Finding the Fourth Proportional to 22,909.92, 34,364.48 and 9,771.32

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Solution

The fourth proportional to 22,909.92, 34,364.48 and 9,771.32 is: 14,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.92 : 34,364.48 = 9,771.32 : x
  2. Step 2: Convert to fraction form
    22,909.92/34,364.48 = 9,771.32/x
  3. Step 3: Cross multiply
    22,909.92x = 34,364.48 × 9,771.32
  4. Step 4: Simplify right side
    22,909.92x = 335,786,110.03
  5. Step 5: Solve for x
    x = 335,786,110.03/22,909.92
  6. Step 6: Final answer
    x = 14,656.80

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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.