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Finding the Fourth Proportional to 16,523.66, 24,795.58 and 7,161.86

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Solution

The fourth proportional to 16,523.66, 24,795.58 and 7,161.86 is: 10,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.66 : 24,795.58 = 7,161.86 : x
  2. Step 2: Convert to fraction form
    16,523.66/24,795.58 = 7,161.86/x
  3. Step 3: Cross multiply
    16,523.66x = 24,795.58 × 7,161.86
  4. Step 4: Simplify right side
    16,523.66x = 177,582,472.58
  5. Step 5: Solve for x
    x = 177,582,472.58/16,523.66
  6. Step 6: Final answer
    x = 10,747.16

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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.