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Finding the Fourth Proportional to 16,249.86, 22,424.96 and 9,535.60

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Solution

The fourth proportional to 16,249.86, 22,424.96 and 9,535.60 is: 13,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.86 : 22,424.96 = 9,535.60 : x
  2. Step 2: Convert to fraction form
    16,249.86/22,424.96 = 9,535.60/x
  3. Step 3: Cross multiply
    16,249.86x = 22,424.96 × 9,535.60
  4. Step 4: Simplify right side
    16,249.86x = 213,835,288.77
  5. Step 5: Solve for x
    x = 213,835,288.77/16,249.86
  6. Step 6: Final answer
    x = 13,159.21

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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.