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Finding the Fourth Proportional to 12,446.43, 18,669.64 and 7,248.66

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Solution

The fourth proportional to 12,446.43, 18,669.64 and 7,248.66 is: 10,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.43 : 18,669.64 = 7,248.66 : x
  2. Step 2: Convert to fraction form
    12,446.43/18,669.64 = 7,248.66/x
  3. Step 3: Cross multiply
    12,446.43x = 18,669.64 × 7,248.66
  4. Step 4: Simplify right side
    12,446.43x = 135,329,798.14
  5. Step 5: Solve for x
    x = 135,329,798.14/12,446.43
  6. Step 6: Final answer
    x = 10,872.98

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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.