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Finding the Fourth Proportional to 18,282, 25,233.90 and 11,924.46

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Solution

The fourth proportional to 18,282, 25,233.90 and 11,924.46 is: 16,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282 : 25,233.90 = 11,924.46 : x
  2. Step 2: Convert to fraction form
    18,282/25,233.90 = 11,924.46/x
  3. Step 3: Cross multiply
    18,282x = 25,233.90 × 11,924.46
  4. Step 4: Simplify right side
    18,282x = 300,900,631.19
  5. Step 5: Solve for x
    x = 300,900,631.19/18,282
  6. Step 6: Final answer
    x = 16,458.85

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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.