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Finding the Fourth Proportional to 23,118.81, 31,872.19 and 14,616.68

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Solution

The fourth proportional to 23,118.81, 31,872.19 and 14,616.68 is: 20,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118.81 : 31,872.19 = 14,616.68 : x
  2. Step 2: Convert to fraction form
    23,118.81/31,872.19 = 14,616.68/x
  3. Step 3: Cross multiply
    23,118.81x = 31,872.19 × 14,616.68
  4. Step 4: Simplify right side
    23,118.81x = 465,865,579.80
  5. Step 5: Solve for x
    x = 465,865,579.80/23,118.81
  6. Step 6: Final answer
    x = 20,150.93

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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.