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Finding the Fourth Proportional to 12,302.46, 18,445.14 and 6,463.26

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Solution

The fourth proportional to 12,302.46, 18,445.14 and 6,463.26 is: 9,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.46 : 18,445.14 = 6,463.26 : x
  2. Step 2: Convert to fraction form
    12,302.46/18,445.14 = 6,463.26/x
  3. Step 3: Cross multiply
    12,302.46x = 18,445.14 × 6,463.26
  4. Step 4: Simplify right side
    12,302.46x = 119,215,735.56
  5. Step 5: Solve for x
    x = 119,215,735.56/12,302.46
  6. Step 6: Final answer
    x = 9,690.40

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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.