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Finding the Fourth Proportional to 16,474.36, 24,693.82 and 7,118.81

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Solution

The fourth proportional to 16,474.36, 24,693.82 and 7,118.81 is: 10,670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.36 : 24,693.82 = 7,118.81 : x
  2. Step 2: Convert to fraction form
    16,474.36/24,693.82 = 7,118.81/x
  3. Step 3: Cross multiply
    16,474.36x = 24,693.82 × 7,118.81
  4. Step 4: Simplify right side
    16,474.36x = 175,790,612.75
  5. Step 5: Solve for x
    x = 175,790,612.75/16,474.36
  6. Step 6: Final answer
    x = 10,670.56

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Why These Related Problems?

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