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Finding the Fourth Proportional to 16,508.62, 22,782.09 and 9,056.62

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Solution

The fourth proportional to 16,508.62, 22,782.09 and 9,056.62 is: 12,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.62 : 22,782.09 = 9,056.62 : x
  2. Step 2: Convert to fraction form
    16,508.62/22,782.09 = 9,056.62/x
  3. Step 3: Cross multiply
    16,508.62x = 22,782.09 × 9,056.62
  4. Step 4: Simplify right side
    16,508.62x = 206,328,731.94
  5. Step 5: Solve for x
    x = 206,328,731.94/16,508.62
  6. Step 6: Final answer
    x = 12,498.24

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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.