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Finding the Fourth Proportional to 11,702.22, 17,632.38 and 9,667.81

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Solution

The fourth proportional to 11,702.22, 17,632.38 and 9,667.81 is: 14,567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.22 : 17,632.38 = 9,667.81 : x
  2. Step 2: Convert to fraction form
    11,702.22/17,632.38 = 9,667.81/x
  3. Step 3: Cross multiply
    11,702.22x = 17,632.38 × 9,667.81
  4. Step 4: Simplify right side
    11,702.22x = 170,466,458.80
  5. Step 5: Solve for x
    x = 170,466,458.80/11,702.22
  6. Step 6: Final answer
    x = 14,567.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.