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Finding the Fourth Proportional to 24,730.80, 37,090.20 and 7,198.80

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Solution

The fourth proportional to 24,730.80, 37,090.20 and 7,198.80 is: 10,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.80 : 37,090.20 = 7,198.80 : x
  2. Step 2: Convert to fraction form
    24,730.80/37,090.20 = 7,198.80/x
  3. Step 3: Cross multiply
    24,730.80x = 37,090.20 × 7,198.80
  4. Step 4: Simplify right side
    24,730.80x = 267,004,931.76
  5. Step 5: Solve for x
    x = 267,004,931.76/24,730.80
  6. Step 6: Final answer
    x = 10,796.45

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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.