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Finding the Fourth Proportional to 27,624, 41,442.48 and 9,156

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Solution

The fourth proportional to 27,624, 41,442.48 and 9,156 is: 13,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624 : 41,442.48 = 9,156 : x
  2. Step 2: Convert to fraction form
    27,624/41,442.48 = 9,156/x
  3. Step 3: Cross multiply
    27,624x = 41,442.48 × 9,156
  4. Step 4: Simplify right side
    27,624x = 379,447,346.88
  5. Step 5: Solve for x
    x = 379,447,346.88/27,624
  6. Step 6: Final answer
    x = 13,736.15

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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.