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Finding the Fourth Proportional to 16,205.29, 22,373.62 and 13,228.20

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Solution

The fourth proportional to 16,205.29, 22,373.62 and 13,228.20 is: 18,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.29 : 22,373.62 = 13,228.20 : x
  2. Step 2: Convert to fraction form
    16,205.29/22,373.62 = 13,228.20/x
  3. Step 3: Cross multiply
    16,205.29x = 22,373.62 × 13,228.20
  4. Step 4: Simplify right side
    16,205.29x = 295,962,720.08
  5. Step 5: Solve for x
    x = 295,962,720.08/16,205.29
  6. Step 6: Final answer
    x = 18,263.34

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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.