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Finding the Fourth Proportional to 12,178.95, 18,270.24 and 4,283.47

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Solution

The fourth proportional to 12,178.95, 18,270.24 and 4,283.47 is: 6,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.95 : 18,270.24 = 4,283.47 : x
  2. Step 2: Convert to fraction form
    12,178.95/18,270.24 = 4,283.47/x
  3. Step 3: Cross multiply
    12,178.95x = 18,270.24 × 4,283.47
  4. Step 4: Simplify right side
    12,178.95x = 78,260,024.93
  5. Step 5: Solve for x
    x = 78,260,024.93/12,178.95
  6. Step 6: Final answer
    x = 6,425.84

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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.