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Finding the Fourth Proportional to 21,711.40, 32,550.09 and 9,233.35

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Solution

The fourth proportional to 21,711.40, 32,550.09 and 9,233.35 is: 13,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.40 : 32,550.09 = 9,233.35 : x
  2. Step 2: Convert to fraction form
    21,711.40/32,550.09 = 9,233.35/x
  3. Step 3: Cross multiply
    21,711.40x = 32,550.09 × 9,233.35
  4. Step 4: Simplify right side
    21,711.40x = 300,546,373.50
  5. Step 5: Solve for x
    x = 300,546,373.50/21,711.40
  6. Step 6: Final answer
    x = 13,842.79

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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.