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Finding the Fourth Proportional to 12,302.40, 18,456.30 and 6,065.40

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Solution

The fourth proportional to 12,302.40, 18,456.30 and 6,065.40 is: 9,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.40 : 18,456.30 = 6,065.40 : x
  2. Step 2: Convert to fraction form
    12,302.40/18,456.30 = 6,065.40/x
  3. Step 3: Cross multiply
    12,302.40x = 18,456.30 × 6,065.40
  4. Step 4: Simplify right side
    12,302.40x = 111,944,842.02
  5. Step 5: Solve for x
    x = 111,944,842.02/12,302.40
  6. Step 6: Final answer
    x = 9,099.43

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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.