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Finding the Fourth Proportional to 12,446.42, 17,167.27 and 7,406.75

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Solution

The fourth proportional to 12,446.42, 17,167.27 and 7,406.75 is: 10,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.42 : 17,167.27 = 7,406.75 : x
  2. Step 2: Convert to fraction form
    12,446.42/17,167.27 = 7,406.75/x
  3. Step 3: Cross multiply
    12,446.42x = 17,167.27 × 7,406.75
  4. Step 4: Simplify right side
    12,446.42x = 127,153,718.67
  5. Step 5: Solve for x
    x = 127,153,718.67/12,446.42
  6. Step 6: Final answer
    x = 10,216.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.