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Finding the Fourth Proportional to 12,107.64, 18,148.50 and 6,258.36

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Solution

The fourth proportional to 12,107.64, 18,148.50 and 6,258.36 is: 9,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.64 : 18,148.50 = 6,258.36 : x
  2. Step 2: Convert to fraction form
    12,107.64/18,148.50 = 6,258.36/x
  3. Step 3: Cross multiply
    12,107.64x = 18,148.50 × 6,258.36
  4. Step 4: Simplify right side
    12,107.64x = 113,579,846.46
  5. Step 5: Solve for x
    x = 113,579,846.46/12,107.64
  6. Step 6: Final answer
    x = 9,380.84

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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.