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Finding the Fourth Proportional to 12,068.46, 18,106.35 and 8,135.49

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Solution

The fourth proportional to 12,068.46, 18,106.35 and 8,135.49 is: 12,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068.46 : 18,106.35 = 8,135.49 : x
  2. Step 2: Convert to fraction form
    12,068.46/18,106.35 = 8,135.49/x
  3. Step 3: Cross multiply
    12,068.46x = 18,106.35 × 8,135.49
  4. Step 4: Simplify right side
    12,068.46x = 147,304,029.36
  5. Step 5: Solve for x
    x = 147,304,029.36/12,068.46
  6. Step 6: Final answer
    x = 12,205.70

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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.