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Finding the Fourth Proportional to 18,833, 25,994.14 and 10,874.04

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Solution

The fourth proportional to 18,833, 25,994.14 and 10,874.04 is: 15,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,833 : 25,994.14 = 10,874.04 : x
  2. Step 2: Convert to fraction form
    18,833/25,994.14 = 10,874.04/x
  3. Step 3: Cross multiply
    18,833x = 25,994.14 × 10,874.04
  4. Step 4: Simplify right side
    18,833x = 282,661,318.13
  5. Step 5: Solve for x
    x = 282,661,318.13/18,833
  6. Step 6: Final answer
    x = 15,008.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.