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Finding the Fourth Proportional to 16,509.25, 22,782.77 and 9,057.25

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Solution

The fourth proportional to 16,509.25, 22,782.77 and 9,057.25 is: 12,499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.25 : 22,782.77 = 9,057.25 : x
  2. Step 2: Convert to fraction form
    16,509.25/22,782.77 = 9,057.25/x
  3. Step 3: Cross multiply
    16,509.25x = 22,782.77 × 9,057.25
  4. Step 4: Simplify right side
    16,509.25x = 206,349,243.58
  5. Step 5: Solve for x
    x = 206,349,243.58/16,509.25
  6. Step 6: Final answer
    x = 12,499.01

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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.