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Finding the Fourth Proportional to 12,426.31, 18,609.16 and 9,461.56

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Solution

The fourth proportional to 12,426.31, 18,609.16 and 9,461.56 is: 14,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.31 : 18,609.16 = 9,461.56 : x
  2. Step 2: Convert to fraction form
    12,426.31/18,609.16 = 9,461.56/x
  3. Step 3: Cross multiply
    12,426.31x = 18,609.16 × 9,461.56
  4. Step 4: Simplify right side
    12,426.31x = 176,071,661.02
  5. Step 5: Solve for x
    x = 176,071,661.02/12,426.31
  6. Step 6: Final answer
    x = 14,169.27

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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.