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Finding the Fourth Proportional to 16,110, 22,231.84 and 9,400.24

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Solution

The fourth proportional to 16,110, 22,231.84 and 9,400.24 is: 12,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,110 : 22,231.84 = 9,400.24 : x
  2. Step 2: Convert to fraction form
    16,110/22,231.84 = 9,400.24/x
  3. Step 3: Cross multiply
    16,110x = 22,231.84 × 9,400.24
  4. Step 4: Simplify right side
    16,110x = 208,984,631.64
  5. Step 5: Solve for x
    x = 208,984,631.64/16,110
  6. Step 6: Final answer
    x = 12,972.35

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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.