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Finding the Fourth Proportional to 22,157.61, 30,567.82 and 14,086.96

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Solution

The fourth proportional to 22,157.61, 30,567.82 and 14,086.96 is: 19,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.61 : 30,567.82 = 14,086.96 : x
  2. Step 2: Convert to fraction form
    22,157.61/30,567.82 = 14,086.96/x
  3. Step 3: Cross multiply
    22,157.61x = 30,567.82 × 14,086.96
  4. Step 4: Simplify right side
    22,157.61x = 430,607,620.24
  5. Step 5: Solve for x
    x = 430,607,620.24/22,157.61
  6. Step 6: Final answer
    x = 19,433.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.