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Finding the Fourth Proportional to 23,120.81, 31,874.95 and 14,618.68

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Solution

The fourth proportional to 23,120.81, 31,874.95 and 14,618.68 is: 20,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120.81 : 31,874.95 = 14,618.68 : x
  2. Step 2: Convert to fraction form
    23,120.81/31,874.95 = 14,618.68/x
  3. Step 3: Cross multiply
    23,120.81x = 31,874.95 × 14,618.68
  4. Step 4: Simplify right side
    23,120.81x = 465,969,694.07
  5. Step 5: Solve for x
    x = 465,969,694.07/23,120.81
  6. Step 6: Final answer
    x = 20,153.69

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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.