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Finding the Fourth Proportional to 23,106.27, 31,894.83 and 13,674.81

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Solution

The fourth proportional to 23,106.27, 31,894.83 and 13,674.81 is: 18,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.27 : 31,894.83 = 13,674.81 : x
  2. Step 2: Convert to fraction form
    23,106.27/31,894.83 = 13,674.81/x
  3. Step 3: Cross multiply
    23,106.27x = 31,894.83 × 13,674.81
  4. Step 4: Simplify right side
    23,106.27x = 436,155,740.23
  5. Step 5: Solve for x
    x = 436,155,740.23/23,106.27
  6. Step 6: Final answer
    x = 18,876.08

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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.