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Finding the Fourth Proportional to 12,116.64, 18,162 and 6,267.36

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Solution

The fourth proportional to 12,116.64, 18,162 and 6,267.36 is: 9,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.64 : 18,162 = 6,267.36 : x
  2. Step 2: Convert to fraction form
    12,116.64/18,162 = 6,267.36/x
  3. Step 3: Cross multiply
    12,116.64x = 18,162 × 6,267.36
  4. Step 4: Simplify right side
    12,116.64x = 113,827,792.32
  5. Step 5: Solve for x
    x = 113,827,792.32/12,116.64
  6. Step 6: Final answer
    x = 9,394.34

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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.