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Finding the Fourth Proportional to 16,561.74, 24,837.36 and 5,466

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Solution

The fourth proportional to 16,561.74, 24,837.36 and 5,466 is: 8,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.74 : 24,837.36 = 5,466 : x
  2. Step 2: Convert to fraction form
    16,561.74/24,837.36 = 5,466/x
  3. Step 3: Cross multiply
    16,561.74x = 24,837.36 × 5,466
  4. Step 4: Simplify right side
    16,561.74x = 135,761,009.76
  5. Step 5: Solve for x
    x = 135,761,009.76/16,561.74
  6. Step 6: Final answer
    x = 8,197.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.