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Finding the Fourth Proportional to 11,766.63, 17,631.72 and 9,295.32

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Solution

The fourth proportional to 11,766.63, 17,631.72 and 9,295.32 is: 13,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.63 : 17,631.72 = 9,295.32 : x
  2. Step 2: Convert to fraction form
    11,766.63/17,631.72 = 9,295.32/x
  3. Step 3: Cross multiply
    11,766.63x = 17,631.72 × 9,295.32
  4. Step 4: Simplify right side
    11,766.63x = 163,892,479.55
  5. Step 5: Solve for x
    x = 163,892,479.55/11,766.63
  6. Step 6: Final answer
    x = 13,928.58

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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.