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Finding the Fourth Proportional to 37,201.86, 55,803.96 and 13,514.22

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Solution

The fourth proportional to 37,201.86, 55,803.96 and 13,514.22 is: 20,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.86 : 55,803.96 = 13,514.22 : x
  2. Step 2: Convert to fraction form
    37,201.86/55,803.96 = 13,514.22/x
  3. Step 3: Cross multiply
    37,201.86x = 55,803.96 × 13,514.22
  4. Step 4: Simplify right side
    37,201.86x = 754,146,992.31
  5. Step 5: Solve for x
    x = 754,146,992.31/37,201.86
  6. Step 6: Final answer
    x = 20,271.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.