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Finding the Fourth Proportional to 27,418.58, 41,122.70 and 13,364.50

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Solution

The fourth proportional to 27,418.58, 41,122.70 and 13,364.50 is: 20,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418.58 : 41,122.70 = 13,364.50 : x
  2. Step 2: Convert to fraction form
    27,418.58/41,122.70 = 13,364.50/x
  3. Step 3: Cross multiply
    27,418.58x = 41,122.70 × 13,364.50
  4. Step 4: Simplify right side
    27,418.58x = 549,584,324.15
  5. Step 5: Solve for x
    x = 549,584,324.15/27,418.58
  6. Step 6: Final answer
    x = 20,044.23

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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.