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Finding the Fourth Proportional to 17,806.47, 24,566.02 and 11,431.36

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Solution

The fourth proportional to 17,806.47, 24,566.02 and 11,431.36 is: 15,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.47 : 24,566.02 = 11,431.36 : x
  2. Step 2: Convert to fraction form
    17,806.47/24,566.02 = 11,431.36/x
  3. Step 3: Cross multiply
    17,806.47x = 24,566.02 × 11,431.36
  4. Step 4: Simplify right side
    17,806.47x = 280,823,020.52
  5. Step 5: Solve for x
    x = 280,823,020.52/17,806.47
  6. Step 6: Final answer
    x = 15,770.85

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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.