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Finding the Fourth Proportional to 22,153.84, 30,571.22 and 13,201.13

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Solution

The fourth proportional to 22,153.84, 30,571.22 and 13,201.13 is: 18,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.84 : 30,571.22 = 13,201.13 : x
  2. Step 2: Convert to fraction form
    22,153.84/30,571.22 = 13,201.13/x
  3. Step 3: Cross multiply
    22,153.84x = 30,571.22 × 13,201.13
  4. Step 4: Simplify right side
    22,153.84x = 403,574,758.91
  5. Step 5: Solve for x
    x = 403,574,758.91/22,153.84
  6. Step 6: Final answer
    x = 18,216.92

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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.