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Finding the Fourth Proportional to 30,661.68, 42,314.63 and 18,723.09

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Solution

The fourth proportional to 30,661.68, 42,314.63 and 18,723.09 is: 25,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.68 : 42,314.63 = 18,723.09 : x
  2. Step 2: Convert to fraction form
    30,661.68/42,314.63 = 18,723.09/x
  3. Step 3: Cross multiply
    30,661.68x = 42,314.63 × 18,723.09
  4. Step 4: Simplify right side
    30,661.68x = 792,260,532.19
  5. Step 5: Solve for x
    x = 792,260,532.19/30,661.68
  6. Step 6: Final answer
    x = 25,838.78

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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.