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Finding the Fourth Proportional to 12,178.40, 18,273.40 and 8,435.95

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Solution

The fourth proportional to 12,178.40, 18,273.40 and 8,435.95 is: 12,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.40 : 18,273.40 = 8,435.95 : x
  2. Step 2: Convert to fraction form
    12,178.40/18,273.40 = 8,435.95/x
  3. Step 3: Cross multiply
    12,178.40x = 18,273.40 × 8,435.95
  4. Step 4: Simplify right side
    12,178.40x = 154,153,421.96
  5. Step 5: Solve for x
    x = 154,153,421.96/12,178.40
  6. Step 6: Final answer
    x = 12,657.94

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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.