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Finding the Fourth Proportional to 18,723.18, 25,842.42 and 10,770

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Solution

The fourth proportional to 18,723.18, 25,842.42 and 10,770 is: 14,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,723.18 : 25,842.42 = 10,770 : x
  2. Step 2: Convert to fraction form
    18,723.18/25,842.42 = 10,770/x
  3. Step 3: Cross multiply
    18,723.18x = 25,842.42 × 10,770
  4. Step 4: Simplify right side
    18,723.18x = 278,322,863.40
  5. Step 5: Solve for x
    x = 278,322,863.40/18,723.18
  6. Step 6: Final answer
    x = 14,865.15

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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.