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Finding the Fourth Proportional to 12,446.08, 17,176.80 and 9,296.80

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Solution

The fourth proportional to 12,446.08, 17,176.80 and 9,296.80 is: 12,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.08 : 17,176.80 = 9,296.80 : x
  2. Step 2: Convert to fraction form
    12,446.08/17,176.80 = 9,296.80/x
  3. Step 3: Cross multiply
    12,446.08x = 17,176.80 × 9,296.80
  4. Step 4: Simplify right side
    12,446.08x = 159,689,274.24
  5. Step 5: Solve for x
    x = 159,689,274.24/12,446.08
  6. Step 6: Final answer
    x = 12,830.49

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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.