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Finding the Fourth Proportional to 18,827.68, 25,983.12 and 10,444

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Solution

The fourth proportional to 18,827.68, 25,983.12 and 10,444 is: 14,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,827.68 : 25,983.12 = 10,444 : x
  2. Step 2: Convert to fraction form
    18,827.68/25,983.12 = 10,444/x
  3. Step 3: Cross multiply
    18,827.68x = 25,983.12 × 10,444
  4. Step 4: Simplify right side
    18,827.68x = 271,367,705.28
  5. Step 5: Solve for x
    x = 271,367,705.28/18,827.68
  6. Step 6: Final answer
    x = 14,413.23

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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.