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Finding the Fourth Proportional to 22,163.61, 30,570.12 and 13,204.20

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Solution

The fourth proportional to 22,163.61, 30,570.12 and 13,204.20 is: 18,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.61 : 30,570.12 = 13,204.20 : x
  2. Step 2: Convert to fraction form
    22,163.61/30,570.12 = 13,204.20/x
  3. Step 3: Cross multiply
    22,163.61x = 30,570.12 × 13,204.20
  4. Step 4: Simplify right side
    22,163.61x = 403,653,978.50
  5. Step 5: Solve for x
    x = 403,653,978.50/22,163.61
  6. Step 6: Final answer
    x = 18,212.47

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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.