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Finding the Fourth Proportional to 16,405.92, 24,611.76 and 7,051.68

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Solution

The fourth proportional to 16,405.92, 24,611.76 and 7,051.68 is: 10,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.92 : 24,611.76 = 7,051.68 : x
  2. Step 2: Convert to fraction form
    16,405.92/24,611.76 = 7,051.68/x
  3. Step 3: Cross multiply
    16,405.92x = 24,611.76 × 7,051.68
  4. Step 4: Simplify right side
    16,405.92x = 173,554,255.76
  5. Step 5: Solve for x
    x = 173,554,255.76/16,405.92
  6. Step 6: Final answer
    x = 10,578.76

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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.