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Finding the Fourth Proportional to 12,200.70, 18,288.90 and 5,615.40

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Solution

The fourth proportional to 12,200.70, 18,288.90 and 5,615.40 is: 8,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.70 : 18,288.90 = 5,615.40 : x
  2. Step 2: Convert to fraction form
    12,200.70/18,288.90 = 5,615.40/x
  3. Step 3: Cross multiply
    12,200.70x = 18,288.90 × 5,615.40
  4. Step 4: Simplify right side
    12,200.70x = 102,699,489.06
  5. Step 5: Solve for x
    x = 102,699,489.06/12,200.70
  6. Step 6: Final answer
    x = 8,417.51

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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.