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Finding the Fourth Proportional to 12,383.04, 17,096.04 and 8,140.80

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Solution

The fourth proportional to 12,383.04, 17,096.04 and 8,140.80 is: 11,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.04 : 17,096.04 = 8,140.80 : x
  2. Step 2: Convert to fraction form
    12,383.04/17,096.04 = 8,140.80/x
  3. Step 3: Cross multiply
    12,383.04x = 17,096.04 × 8,140.80
  4. Step 4: Simplify right side
    12,383.04x = 139,175,442.43
  5. Step 5: Solve for x
    x = 139,175,442.43/12,383.04
  6. Step 6: Final answer
    x = 11,239.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.