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Finding the Fourth Proportional to 16,416.96, 22,656.15 and 9,344.85

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Solution

The fourth proportional to 16,416.96, 22,656.15 and 9,344.85 is: 12,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.96 : 22,656.15 = 9,344.85 : x
  2. Step 2: Convert to fraction form
    16,416.96/22,656.15 = 9,344.85/x
  3. Step 3: Cross multiply
    16,416.96x = 22,656.15 × 9,344.85
  4. Step 4: Simplify right side
    16,416.96x = 211,718,323.33
  5. Step 5: Solve for x
    x = 211,718,323.33/16,416.96
  6. Step 6: Final answer
    x = 12,896.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.