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Finding the Fourth Proportional to 12,296.01, 18,444.15 and 3,531

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Solution

The fourth proportional to 12,296.01, 18,444.15 and 3,531 is: 5,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.01 : 18,444.15 = 3,531 : x
  2. Step 2: Convert to fraction form
    12,296.01/18,444.15 = 3,531/x
  3. Step 3: Cross multiply
    12,296.01x = 18,444.15 × 3,531
  4. Step 4: Simplify right side
    12,296.01x = 65,126,293.65
  5. Step 5: Solve for x
    x = 65,126,293.65/12,296.01
  6. Step 6: Final answer
    x = 5,296.54

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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.