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Finding the Fourth Proportional to 16,509.72, 22,782.06 and 9,057.72

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Solution

The fourth proportional to 16,509.72, 22,782.06 and 9,057.72 is: 12,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.72 : 22,782.06 = 9,057.72 : x
  2. Step 2: Convert to fraction form
    16,509.72/22,782.06 = 9,057.72/x
  3. Step 3: Cross multiply
    16,509.72x = 22,782.06 × 9,057.72
  4. Step 4: Simplify right side
    16,509.72x = 206,353,520.50
  5. Step 5: Solve for x
    x = 206,353,520.50/16,509.72
  6. Step 6: Final answer
    x = 12,498.91

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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.