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Finding the Fourth Proportional to 16,164.51, 22,310.09 and 10,117.56

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Solution

The fourth proportional to 16,164.51, 22,310.09 and 10,117.56 is: 13,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.51 : 22,310.09 = 10,117.56 : x
  2. Step 2: Convert to fraction form
    16,164.51/22,310.09 = 10,117.56/x
  3. Step 3: Cross multiply
    16,164.51x = 22,310.09 × 10,117.56
  4. Step 4: Simplify right side
    16,164.51x = 225,723,623.59
  5. Step 5: Solve for x
    x = 225,723,623.59/16,164.51
  6. Step 6: Final answer
    x = 13,964.15

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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.