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Finding the Fourth Proportional to 12,468.67, 18,700.70 and 4,147.74

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Solution

The fourth proportional to 12,468.67, 18,700.70 and 4,147.74 is: 6,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.67 : 18,700.70 = 4,147.74 : x
  2. Step 2: Convert to fraction form
    12,468.67/18,700.70 = 4,147.74/x
  3. Step 3: Cross multiply
    12,468.67x = 18,700.70 × 4,147.74
  4. Step 4: Simplify right side
    12,468.67x = 77,565,620.68
  5. Step 5: Solve for x
    x = 77,565,620.68/12,468.67
  6. Step 6: Final answer
    x = 6,220.84

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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.