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Finding the Fourth Proportional to 22,259.49, 33,390.97 and 6,464.78

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Solution

The fourth proportional to 22,259.49, 33,390.97 and 6,464.78 is: 9,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,259.49 : 33,390.97 = 6,464.78 : x
  2. Step 2: Convert to fraction form
    22,259.49/33,390.97 = 6,464.78/x
  3. Step 3: Cross multiply
    22,259.49x = 33,390.97 × 6,464.78
  4. Step 4: Simplify right side
    22,259.49x = 215,865,275.04
  5. Step 5: Solve for x
    x = 215,865,275.04/22,259.49
  6. Step 6: Final answer
    x = 9,697.67

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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.