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Finding the Fourth Proportional to 12,187.70, 18,282.15 and 6,355.70

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Solution

The fourth proportional to 12,187.70, 18,282.15 and 6,355.70 is: 9,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.70 : 18,282.15 = 6,355.70 : x
  2. Step 2: Convert to fraction form
    12,187.70/18,282.15 = 6,355.70/x
  3. Step 3: Cross multiply
    12,187.70x = 18,282.15 × 6,355.70
  4. Step 4: Simplify right side
    12,187.70x = 116,195,860.76
  5. Step 5: Solve for x
    x = 116,195,860.76/12,187.70
  6. Step 6: Final answer
    x = 9,533.86

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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.