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Finding the Fourth Proportional to 11,966.40, 17,929.35 and 8,679.42

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Solution

The fourth proportional to 11,966.40, 17,929.35 and 8,679.42 is: 13,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.40 : 17,929.35 = 8,679.42 : x
  2. Step 2: Convert to fraction form
    11,966.40/17,929.35 = 8,679.42/x
  3. Step 3: Cross multiply
    11,966.40x = 17,929.35 × 8,679.42
  4. Step 4: Simplify right side
    11,966.40x = 155,616,358.98
  5. Step 5: Solve for x
    x = 155,616,358.98/11,966.40
  6. Step 6: Final answer
    x = 13,004.44

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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.