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Finding the Fourth Proportional to 37,154.16, 55,739.70 and 12,195.90

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Solution

The fourth proportional to 37,154.16, 55,739.70 and 12,195.90 is: 18,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,154.16 : 55,739.70 = 12,195.90 : x
  2. Step 2: Convert to fraction form
    37,154.16/55,739.70 = 12,195.90/x
  3. Step 3: Cross multiply
    37,154.16x = 55,739.70 × 12,195.90
  4. Step 4: Simplify right side
    37,154.16x = 679,795,807.23
  5. Step 5: Solve for x
    x = 679,795,807.23/37,154.16
  6. Step 6: Final answer
    x = 18,296.63

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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.