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Finding the Fourth Proportional to 27,822, 41,733 and 9,354

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Solution

The fourth proportional to 27,822, 41,733 and 9,354 is: 14,031

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822 : 41,733 = 9,354 : x
  2. Step 2: Convert to fraction form
    27,822/41,733 = 9,354/x
  3. Step 3: Cross multiply
    27,822x = 41,733 × 9,354
  4. Step 4: Simplify right side
    27,822x = 390,370,482
  5. Step 5: Solve for x
    x = 390,370,482/27,822
  6. Step 6: Final answer
    x = 14,031

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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.