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Finding the Fourth Proportional to 12,130.17, 18,194.58 and 5,107.20

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Solution

The fourth proportional to 12,130.17, 18,194.58 and 5,107.20 is: 7,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.17 : 18,194.58 = 5,107.20 : x
  2. Step 2: Convert to fraction form
    12,130.17/18,194.58 = 5,107.20/x
  3. Step 3: Cross multiply
    12,130.17x = 18,194.58 × 5,107.20
  4. Step 4: Simplify right side
    12,130.17x = 92,923,358.98
  5. Step 5: Solve for x
    x = 92,923,358.98/12,130.17
  6. Step 6: Final answer
    x = 7,660.52

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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.