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Finding the Fourth Proportional to 22,378.82, 33,568.25 and 10,656.50

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Solution

The fourth proportional to 22,378.82, 33,568.25 and 10,656.50 is: 15,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.82 : 33,568.25 = 10,656.50 : x
  2. Step 2: Convert to fraction form
    22,378.82/33,568.25 = 10,656.50/x
  3. Step 3: Cross multiply
    22,378.82x = 33,568.25 × 10,656.50
  4. Step 4: Simplify right side
    22,378.82x = 357,719,835.00
  5. Step 5: Solve for x
    x = 357,719,835.00/22,378.82
  6. Step 6: Final answer
    x = 15,984.75

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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.