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Finding the Fourth Proportional to 16,204.70, 22,355.91 and 9,920.72

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Solution

The fourth proportional to 16,204.70, 22,355.91 and 9,920.72 is: 13,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.70 : 22,355.91 = 9,920.72 : x
  2. Step 2: Convert to fraction form
    16,204.70/22,355.91 = 9,920.72/x
  3. Step 3: Cross multiply
    16,204.70x = 22,355.91 × 9,920.72
  4. Step 4: Simplify right side
    16,204.70x = 221,786,723.46
  5. Step 5: Solve for x
    x = 221,786,723.46/16,204.70
  6. Step 6: Final answer
    x = 13,686.57

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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.