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Finding the Fourth Proportional to 27,393.86, 41,095.34 and 9,619.91

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Solution

The fourth proportional to 27,393.86, 41,095.34 and 9,619.91 is: 14,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,393.86 : 41,095.34 = 9,619.91 : x
  2. Step 2: Convert to fraction form
    27,393.86/41,095.34 = 9,619.91/x
  3. Step 3: Cross multiply
    27,393.86x = 41,095.34 × 9,619.91
  4. Step 4: Simplify right side
    27,393.86x = 395,333,218.64
  5. Step 5: Solve for x
    x = 395,333,218.64/27,393.86
  6. Step 6: Final answer
    x = 14,431.46

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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.