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Finding the Fourth Proportional to 12,466.29, 17,194.92 and 7,426.63

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Solution

The fourth proportional to 12,466.29, 17,194.92 and 7,426.63 is: 10,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.29 : 17,194.92 = 7,426.63 : x
  2. Step 2: Convert to fraction form
    12,466.29/17,194.92 = 7,426.63/x
  3. Step 3: Cross multiply
    12,466.29x = 17,194.92 × 7,426.63
  4. Step 4: Simplify right side
    12,466.29x = 127,700,271.59
  5. Step 5: Solve for x
    x = 127,700,271.59/12,466.29
  6. Step 6: Final answer
    x = 10,243.65

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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.