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Finding the Fourth Proportional to 18,282, 27,423 and 4,431

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Solution

The fourth proportional to 18,282, 27,423 and 4,431 is: 6,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282 : 27,423 = 4,431 : x
  2. Step 2: Convert to fraction form
    18,282/27,423 = 4,431/x
  3. Step 3: Cross multiply
    18,282x = 27,423 × 4,431
  4. Step 4: Simplify right side
    18,282x = 121,511,313
  5. Step 5: Solve for x
    x = 121,511,313/18,282
  6. Step 6: Final answer
    x = 6,646.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.