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Finding the Fourth Proportional to 16,143.92, 24,215.84 and 4,297.69

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Solution

The fourth proportional to 16,143.92, 24,215.84 and 4,297.69 is: 6,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.92 : 24,215.84 = 4,297.69 : x
  2. Step 2: Convert to fraction form
    16,143.92/24,215.84 = 4,297.69/x
  3. Step 3: Cross multiply
    16,143.92x = 24,215.84 × 4,297.69
  4. Step 4: Simplify right side
    16,143.92x = 104,072,173.41
  5. Step 5: Solve for x
    x = 104,072,173.41/16,143.92
  6. Step 6: Final answer
    x = 6,446.52

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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.