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Finding the Fourth Proportional to 12,238.02, 18,346.63 and 4,847.68

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Solution

The fourth proportional to 12,238.02, 18,346.63 and 4,847.68 is: 7,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.02 : 18,346.63 = 4,847.68 : x
  2. Step 2: Convert to fraction form
    12,238.02/18,346.63 = 4,847.68/x
  3. Step 3: Cross multiply
    12,238.02x = 18,346.63 × 4,847.68
  4. Step 4: Simplify right side
    12,238.02x = 88,938,591.32
  5. Step 5: Solve for x
    x = 88,938,591.32/12,238.02
  6. Step 6: Final answer
    x = 7,267.40

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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.