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Finding the Fourth Proportional to 37,143.68, 55,723.72 and 13,770.12

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Solution

The fourth proportional to 37,143.68, 55,723.72 and 13,770.12 is: 20,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,143.68 : 55,723.72 = 13,770.12 : x
  2. Step 2: Convert to fraction form
    37,143.68/55,723.72 = 13,770.12/x
  3. Step 3: Cross multiply
    37,143.68x = 55,723.72 × 13,770.12
  4. Step 4: Simplify right side
    37,143.68x = 767,322,276.82
  5. Step 5: Solve for x
    x = 767,322,276.82/37,143.68
  6. Step 6: Final answer
    x = 20,658.22

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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.