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Finding the Fourth Proportional to 12,188.20, 18,282.30 and 7,004.20

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Solution

The fourth proportional to 12,188.20, 18,282.30 and 7,004.20 is: 10,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.20 : 18,282.30 = 7,004.20 : x
  2. Step 2: Convert to fraction form
    12,188.20/18,282.30 = 7,004.20/x
  3. Step 3: Cross multiply
    12,188.20x = 18,282.30 × 7,004.20
  4. Step 4: Simplify right side
    12,188.20x = 128,052,885.66
  5. Step 5: Solve for x
    x = 128,052,885.66/12,188.20
  6. Step 6: Final answer
    x = 10,506.30

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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.