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Finding the Fourth Proportional to 18,823.92, 25,977.30 and 10,326.78

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Solution

The fourth proportional to 18,823.92, 25,977.30 and 10,326.78 is: 14,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.92 : 25,977.30 = 10,326.78 : x
  2. Step 2: Convert to fraction form
    18,823.92/25,977.30 = 10,326.78/x
  3. Step 3: Cross multiply
    18,823.92x = 25,977.30 × 10,326.78
  4. Step 4: Simplify right side
    18,823.92x = 268,261,862.09
  5. Step 5: Solve for x
    x = 268,261,862.09/18,823.92
  6. Step 6: Final answer
    x = 14,251.12

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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.