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Finding the Fourth Proportional to 21,698.20, 32,552.08 and 9,228.88

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Solution

The fourth proportional to 21,698.20, 32,552.08 and 9,228.88 is: 13,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.20 : 32,552.08 = 9,228.88 : x
  2. Step 2: Convert to fraction form
    21,698.20/32,552.08 = 9,228.88/x
  3. Step 3: Cross multiply
    21,698.20x = 32,552.08 × 9,228.88
  4. Step 4: Simplify right side
    21,698.20x = 300,419,240.07
  5. Step 5: Solve for x
    x = 300,419,240.07/21,698.20
  6. Step 6: Final answer
    x = 13,845.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.