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Finding the Fourth Proportional to 16,012.32, 22,095.68 and 9,295.80

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Solution

The fourth proportional to 16,012.32, 22,095.68 and 9,295.80 is: 12,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.32 : 22,095.68 = 9,295.80 : x
  2. Step 2: Convert to fraction form
    16,012.32/22,095.68 = 9,295.80/x
  3. Step 3: Cross multiply
    16,012.32x = 22,095.68 × 9,295.80
  4. Step 4: Simplify right side
    16,012.32x = 205,397,022.14
  5. Step 5: Solve for x
    x = 205,397,022.14/16,012.32
  6. Step 6: Final answer
    x = 12,827.44

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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.