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Finding the Fourth Proportional to 16,217.86, 22,386.22 and 9,505.66

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Solution

The fourth proportional to 16,217.86, 22,386.22 and 9,505.66 is: 13,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.86 : 22,386.22 = 9,505.66 : x
  2. Step 2: Convert to fraction form
    16,217.86/22,386.22 = 9,505.66/x
  3. Step 3: Cross multiply
    16,217.86x = 22,386.22 × 9,505.66
  4. Step 4: Simplify right side
    16,217.86x = 212,795,796.01
  5. Step 5: Solve for x
    x = 212,795,796.01/16,217.86
  6. Step 6: Final answer
    x = 13,121.08

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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.