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Finding the Fourth Proportional to 16,202.99, 22,359.19 and 9,032.66

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Solution

The fourth proportional to 16,202.99, 22,359.19 and 9,032.66 is: 12,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.99 : 22,359.19 = 9,032.66 : x
  2. Step 2: Convert to fraction form
    16,202.99/22,359.19 = 9,032.66/x
  3. Step 3: Cross multiply
    16,202.99x = 22,359.19 × 9,032.66
  4. Step 4: Simplify right side
    16,202.99x = 201,963,053.32
  5. Step 5: Solve for x
    x = 201,963,053.32/16,202.99
  6. Step 6: Final answer
    x = 12,464.56

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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.