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Finding the Fourth Proportional to 22,534.74, 33,789.63 and 9,217.08

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Solution

The fourth proportional to 22,534.74, 33,789.63 and 9,217.08 is: 13,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.74 : 33,789.63 = 9,217.08 : x
  2. Step 2: Convert to fraction form
    22,534.74/33,789.63 = 9,217.08/x
  3. Step 3: Cross multiply
    22,534.74x = 33,789.63 × 9,217.08
  4. Step 4: Simplify right side
    22,534.74x = 311,441,701.01
  5. Step 5: Solve for x
    x = 311,441,701.01/22,534.74
  6. Step 6: Final answer
    x = 13,820.52

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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.