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Finding the Fourth Proportional to 16,522.66, 24,794.08 and 7,160.86

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Solution

The fourth proportional to 16,522.66, 24,794.08 and 7,160.86 is: 10,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.66 : 24,794.08 = 7,160.86 : x
  2. Step 2: Convert to fraction form
    16,522.66/24,794.08 = 7,160.86/x
  3. Step 3: Cross multiply
    16,522.66x = 24,794.08 × 7,160.86
  4. Step 4: Simplify right side
    16,522.66x = 177,546,935.71
  5. Step 5: Solve for x
    x = 177,546,935.71/16,522.66
  6. Step 6: Final answer
    x = 10,745.66

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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.