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Finding the Fourth Proportional to 12,200.40, 18,274.68 and 10,347.12

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Solution

The fourth proportional to 12,200.40, 18,274.68 and 10,347.12 is: 15,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.40 : 18,274.68 = 10,347.12 : x
  2. Step 2: Convert to fraction form
    12,200.40/18,274.68 = 10,347.12/x
  3. Step 3: Cross multiply
    12,200.40x = 18,274.68 × 10,347.12
  4. Step 4: Simplify right side
    12,200.40x = 189,090,306.92
  5. Step 5: Solve for x
    x = 189,090,306.92/12,200.40
  6. Step 6: Final answer
    x = 15,498.70

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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.