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Finding the Fourth Proportional to 27,630, 41,466.84 and 12,058.56

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Solution

The fourth proportional to 27,630, 41,466.84 and 12,058.56 is: 18,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,630 : 41,466.84 = 12,058.56 : x
  2. Step 2: Convert to fraction form
    27,630/41,466.84 = 12,058.56/x
  3. Step 3: Cross multiply
    27,630x = 41,466.84 × 12,058.56
  4. Step 4: Simplify right side
    27,630x = 500,030,378.15
  5. Step 5: Solve for x
    x = 500,030,378.15/27,630
  6. Step 6: Final answer
    x = 18,097.37

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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.