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Finding the Fourth Proportional to 22,161.40, 30,578.97 and 13,208.74

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Solution

The fourth proportional to 22,161.40, 30,578.97 and 13,208.74 is: 18,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.40 : 30,578.97 = 13,208.74 : x
  2. Step 2: Convert to fraction form
    22,161.40/30,578.97 = 13,208.74/x
  3. Step 3: Cross multiply
    22,161.40x = 30,578.97 × 13,208.74
  4. Step 4: Simplify right side
    22,161.40x = 403,909,664.20
  5. Step 5: Solve for x
    x = 403,909,664.20/22,161.40
  6. Step 6: Final answer
    x = 18,225.82

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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.