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Finding the Fourth Proportional to 12,228.60, 18,342.90 and 5,206.80

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Solution

The fourth proportional to 12,228.60, 18,342.90 and 5,206.80 is: 7,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.60 : 18,342.90 = 5,206.80 : x
  2. Step 2: Convert to fraction form
    12,228.60/18,342.90 = 5,206.80/x
  3. Step 3: Cross multiply
    12,228.60x = 18,342.90 × 5,206.80
  4. Step 4: Simplify right side
    12,228.60x = 95,507,811.72
  5. Step 5: Solve for x
    x = 95,507,811.72/12,228.60
  6. Step 6: Final answer
    x = 7,810.20

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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.