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Finding the Fourth Proportional to 16,465.14, 24,676.16 and 6,611.33

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Solution

The fourth proportional to 16,465.14, 24,676.16 and 6,611.33 is: 9,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.14 : 24,676.16 = 6,611.33 : x
  2. Step 2: Convert to fraction form
    16,465.14/24,676.16 = 6,611.33/x
  3. Step 3: Cross multiply
    16,465.14x = 24,676.16 × 6,611.33
  4. Step 4: Simplify right side
    16,465.14x = 163,142,265.53
  5. Step 5: Solve for x
    x = 163,142,265.53/16,465.14
  6. Step 6: Final answer
    x = 9,908.34

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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.