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Finding the Fourth Proportional to 16,283.72, 24,426.62 and 6,293.24

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Solution

The fourth proportional to 16,283.72, 24,426.62 and 6,293.24 is: 9,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.72 : 24,426.62 = 6,293.24 : x
  2. Step 2: Convert to fraction form
    16,283.72/24,426.62 = 6,293.24/x
  3. Step 3: Cross multiply
    16,283.72x = 24,426.62 × 6,293.24
  4. Step 4: Simplify right side
    16,283.72x = 153,722,582.05
  5. Step 5: Solve for x
    x = 153,722,582.05/16,283.72
  6. Step 6: Final answer
    x = 9,440.26

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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.