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Finding the Fourth Proportional to 22,567.20, 33,854.04 and 7,772.16

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Solution

The fourth proportional to 22,567.20, 33,854.04 and 7,772.16 is: 11,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.20 : 33,854.04 = 7,772.16 : x
  2. Step 2: Convert to fraction form
    22,567.20/33,854.04 = 7,772.16/x
  3. Step 3: Cross multiply
    22,567.20x = 33,854.04 × 7,772.16
  4. Step 4: Simplify right side
    22,567.20x = 263,119,015.53
  5. Step 5: Solve for x
    x = 263,119,015.53/22,567.20
  6. Step 6: Final answer
    x = 11,659.36

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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.