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Finding the Fourth Proportional to 22,622.80, 31,219.49 and 13,193.19

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Solution

The fourth proportional to 22,622.80, 31,219.49 and 13,193.19 is: 18,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622.80 : 31,219.49 = 13,193.19 : x
  2. Step 2: Convert to fraction form
    22,622.80/31,219.49 = 13,193.19/x
  3. Step 3: Cross multiply
    22,622.80x = 31,219.49 × 13,193.19
  4. Step 4: Simplify right side
    22,622.80x = 411,884,441.21
  5. Step 5: Solve for x
    x = 411,884,441.21/22,622.80
  6. Step 6: Final answer
    x = 18,206.61

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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.