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Finding the Fourth Proportional to 11,830.46, 17,677 and 8,961.84

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Solution

The fourth proportional to 11,830.46, 17,677 and 8,961.84 is: 13,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.46 : 17,677 = 8,961.84 : x
  2. Step 2: Convert to fraction form
    11,830.46/17,677 = 8,961.84/x
  3. Step 3: Cross multiply
    11,830.46x = 17,677 × 8,961.84
  4. Step 4: Simplify right side
    11,830.46x = 158,418,445.68
  5. Step 5: Solve for x
    x = 158,418,445.68/11,830.46
  6. Step 6: Final answer
    x = 13,390.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.