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Finding the Fourth Proportional to 22,567.32, 33,846.93 and 13,211.82

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Solution

The fourth proportional to 22,567.32, 33,846.93 and 13,211.82 is: 19,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.32 : 33,846.93 = 13,211.82 : x
  2. Step 2: Convert to fraction form
    22,567.32/33,846.93 = 13,211.82/x
  3. Step 3: Cross multiply
    22,567.32x = 33,846.93 × 13,211.82
  4. Step 4: Simplify right side
    22,567.32x = 447,179,546.71
  5. Step 5: Solve for x
    x = 447,179,546.71/22,567.32
  6. Step 6: Final answer
    x = 19,815.36

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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.