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Finding the Fourth Proportional to 16,169.16, 22,319.34 and 10,204.71

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Solution

The fourth proportional to 16,169.16, 22,319.34 and 10,204.71 is: 14,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.16 : 22,319.34 = 10,204.71 : x
  2. Step 2: Convert to fraction form
    16,169.16/22,319.34 = 10,204.71/x
  3. Step 3: Cross multiply
    16,169.16x = 22,319.34 × 10,204.71
  4. Step 4: Simplify right side
    16,169.16x = 227,762,392.09
  5. Step 5: Solve for x
    x = 227,762,392.09/16,169.16
  6. Step 6: Final answer
    x = 14,086.22

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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.