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Finding the Fourth Proportional to 31,177.68, 43,018.08 and 18,600

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Solution

The fourth proportional to 31,177.68, 43,018.08 and 18,600 is: 25,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177.68 : 43,018.08 = 18,600 : x
  2. Step 2: Convert to fraction form
    31,177.68/43,018.08 = 18,600/x
  3. Step 3: Cross multiply
    31,177.68x = 43,018.08 × 18,600
  4. Step 4: Simplify right side
    31,177.68x = 800,136,288
  5. Step 5: Solve for x
    x = 800,136,288/31,177.68
  6. Step 6: Final answer
    x = 25,663.75

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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.