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Finding the Fourth Proportional to 16,171.86, 22,317.08 and 9,098.34

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Solution

The fourth proportional to 16,171.86, 22,317.08 and 9,098.34 is: 12,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.86 : 22,317.08 = 9,098.34 : x
  2. Step 2: Convert to fraction form
    16,171.86/22,317.08 = 9,098.34/x
  3. Step 3: Cross multiply
    16,171.86x = 22,317.08 × 9,098.34
  4. Step 4: Simplify right side
    16,171.86x = 203,048,336.16
  5. Step 5: Solve for x
    x = 203,048,336.16/16,171.86
  6. Step 6: Final answer
    x = 12,555.66

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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.