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Finding the Fourth Proportional to 27,713, 41,587.74 and 12,130.64

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Solution

The fourth proportional to 27,713, 41,587.74 and 12,130.64 is: 18,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713 : 41,587.74 = 12,130.64 : x
  2. Step 2: Convert to fraction form
    27,713/41,587.74 = 12,130.64/x
  3. Step 3: Cross multiply
    27,713x = 41,587.74 × 12,130.64
  4. Step 4: Simplify right side
    27,713x = 504,485,902.35
  5. Step 5: Solve for x
    x = 504,485,902.35/27,713
  6. Step 6: Final answer
    x = 18,203.94

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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.