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Finding the Fourth Proportional to 16,160.36, 24,224.31 and 6,802.65

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Solution

The fourth proportional to 16,160.36, 24,224.31 and 6,802.65 is: 10,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.36 : 24,224.31 = 6,802.65 : x
  2. Step 2: Convert to fraction form
    16,160.36/24,224.31 = 6,802.65/x
  3. Step 3: Cross multiply
    16,160.36x = 24,224.31 × 6,802.65
  4. Step 4: Simplify right side
    16,160.36x = 164,789,502.42
  5. Step 5: Solve for x
    x = 164,789,502.42/16,160.36
  6. Step 6: Final answer
    x = 10,197.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.