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Finding the Fourth Proportional to 12,220.61, 18,305.39 and 7,815.69

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Solution

The fourth proportional to 12,220.61, 18,305.39 and 7,815.69 is: 11,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.61 : 18,305.39 = 7,815.69 : x
  2. Step 2: Convert to fraction form
    12,220.61/18,305.39 = 7,815.69/x
  3. Step 3: Cross multiply
    12,220.61x = 18,305.39 × 7,815.69
  4. Step 4: Simplify right side
    12,220.61x = 143,069,273.11
  5. Step 5: Solve for x
    x = 143,069,273.11/12,220.61
  6. Step 6: Final answer
    x = 11,707.22

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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.