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Finding the Fourth Proportional to 11,559.08, 15,967.86 and 9,198.20

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Solution

The fourth proportional to 11,559.08, 15,967.86 and 9,198.20 is: 12,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.08 : 15,967.86 = 9,198.20 : x
  2. Step 2: Convert to fraction form
    11,559.08/15,967.86 = 9,198.20/x
  3. Step 3: Cross multiply
    11,559.08x = 15,967.86 × 9,198.20
  4. Step 4: Simplify right side
    11,559.08x = 146,875,569.85
  5. Step 5: Solve for x
    x = 146,875,569.85/11,559.08
  6. Step 6: Final answer
    x = 12,706.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.