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Finding the Fourth Proportional to 11,549.96, 17,339.52 and 6,624.08

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Solution

The fourth proportional to 11,549.96, 17,339.52 and 6,624.08 is: 9,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.96 : 17,339.52 = 6,624.08 : x
  2. Step 2: Convert to fraction form
    11,549.96/17,339.52 = 6,624.08/x
  3. Step 3: Cross multiply
    11,549.96x = 17,339.52 × 6,624.08
  4. Step 4: Simplify right side
    11,549.96x = 114,858,367.64
  5. Step 5: Solve for x
    x = 114,858,367.64/11,549.96
  6. Step 6: Final answer
    x = 9,944.48

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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.