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Finding the Fourth Proportional to 12,202.40, 18,302.88 and 7,523.30

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Solution

The fourth proportional to 12,202.40, 18,302.88 and 7,523.30 is: 11,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.40 : 18,302.88 = 7,523.30 : x
  2. Step 2: Convert to fraction form
    12,202.40/18,302.88 = 7,523.30/x
  3. Step 3: Cross multiply
    12,202.40x = 18,302.88 × 7,523.30
  4. Step 4: Simplify right side
    12,202.40x = 137,698,057.10
  5. Step 5: Solve for x
    x = 137,698,057.10/12,202.40
  6. Step 6: Final answer
    x = 11,284.51

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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.