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Finding the Fourth Proportional to 27,407.70, 37,822.68 and 14,832.48

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Solution

The fourth proportional to 27,407.70, 37,822.68 and 14,832.48 is: 20,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.70 : 37,822.68 = 14,832.48 : x
  2. Step 2: Convert to fraction form
    27,407.70/37,822.68 = 14,832.48/x
  3. Step 3: Cross multiply
    27,407.70x = 37,822.68 × 14,832.48
  4. Step 4: Simplify right side
    27,407.70x = 561,004,144.65
  5. Step 5: Solve for x
    x = 561,004,144.65/27,407.70
  6. Step 6: Final answer
    x = 20,468.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.