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Finding the Fourth Proportional to 12,424.08, 17,146.44 and 9,274.80

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Solution

The fourth proportional to 12,424.08, 17,146.44 and 9,274.80 is: 12,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.08 : 17,146.44 = 9,274.80 : x
  2. Step 2: Convert to fraction form
    12,424.08/17,146.44 = 9,274.80/x
  3. Step 3: Cross multiply
    12,424.08x = 17,146.44 × 9,274.80
  4. Step 4: Simplify right side
    12,424.08x = 159,029,801.71
  5. Step 5: Solve for x
    x = 159,029,801.71/12,424.08
  6. Step 6: Final answer
    x = 12,800.13

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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.