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Finding the Fourth Proportional to 12,133.17, 18,200.70 and 10,682.46

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Solution

The fourth proportional to 12,133.17, 18,200.70 and 10,682.46 is: 16,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.17 : 18,200.70 = 10,682.46 : x
  2. Step 2: Convert to fraction form
    12,133.17/18,200.70 = 10,682.46/x
  3. Step 3: Cross multiply
    12,133.17x = 18,200.70 × 10,682.46
  4. Step 4: Simplify right side
    12,133.17x = 194,428,249.72
  5. Step 5: Solve for x
    x = 194,428,249.72/12,133.17
  6. Step 6: Final answer
    x = 16,024.52

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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.