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Finding the Fourth Proportional to 27,392, 41,091.24 and 8,924

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Solution

The fourth proportional to 27,392, 41,091.24 and 8,924 is: 13,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,392 : 41,091.24 = 8,924 : x
  2. Step 2: Convert to fraction form
    27,392/41,091.24 = 8,924/x
  3. Step 3: Cross multiply
    27,392x = 41,091.24 × 8,924
  4. Step 4: Simplify right side
    27,392x = 366,698,225.76
  5. Step 5: Solve for x
    x = 366,698,225.76/27,392
  6. Step 6: Final answer
    x = 13,387.06

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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.