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Finding the Fourth Proportional to 11,664.16, 17,476.76 and 8,195.20

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Solution

The fourth proportional to 11,664.16, 17,476.76 and 8,195.20 is: 12,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.16 : 17,476.76 = 8,195.20 : x
  2. Step 2: Convert to fraction form
    11,664.16/17,476.76 = 8,195.20/x
  3. Step 3: Cross multiply
    11,664.16x = 17,476.76 × 8,195.20
  4. Step 4: Simplify right side
    11,664.16x = 143,225,543.55
  5. Step 5: Solve for x
    x = 143,225,543.55/11,664.16
  6. Step 6: Final answer
    x = 12,279.11

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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.