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Finding the Fourth Proportional to 15,982.35, 22,055.75 and 8,909.23

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Solution

The fourth proportional to 15,982.35, 22,055.75 and 8,909.23 is: 12,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.35 : 22,055.75 = 8,909.23 : x
  2. Step 2: Convert to fraction form
    15,982.35/22,055.75 = 8,909.23/x
  3. Step 3: Cross multiply
    15,982.35x = 22,055.75 × 8,909.23
  4. Step 4: Simplify right side
    15,982.35x = 196,499,749.57
  5. Step 5: Solve for x
    x = 196,499,749.57/15,982.35
  6. Step 6: Final answer
    x = 12,294.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.