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Finding the Fourth Proportional to 16,215.71, 24,324.37 and 6,856.16

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Solution

The fourth proportional to 16,215.71, 24,324.37 and 6,856.16 is: 10,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.71 : 24,324.37 = 6,856.16 : x
  2. Step 2: Convert to fraction form
    16,215.71/24,324.37 = 6,856.16/x
  3. Step 3: Cross multiply
    16,215.71x = 24,324.37 × 6,856.16
  4. Step 4: Simplify right side
    16,215.71x = 166,771,633.86
  5. Step 5: Solve for x
    x = 166,771,633.86/16,215.71
  6. Step 6: Final answer
    x = 10,284.57

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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.