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Finding the Fourth Proportional to 22,564.20, 33,856.08 and 9,419.52

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Solution

The fourth proportional to 22,564.20, 33,856.08 and 9,419.52 is: 14,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.20 : 33,856.08 = 9,419.52 : x
  2. Step 2: Convert to fraction form
    22,564.20/33,856.08 = 9,419.52/x
  3. Step 3: Cross multiply
    22,564.20x = 33,856.08 × 9,419.52
  4. Step 4: Simplify right side
    22,564.20x = 318,908,022.68
  5. Step 5: Solve for x
    x = 318,908,022.68/22,564.20
  6. Step 6: Final answer
    x = 14,133.36

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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.