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Finding the Fourth Proportional to 16,176.65, 24,265.10 and 5,083.09

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Solution

The fourth proportional to 16,176.65, 24,265.10 and 5,083.09 is: 7,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.65 : 24,265.10 = 5,083.09 : x
  2. Step 2: Convert to fraction form
    16,176.65/24,265.10 = 5,083.09/x
  3. Step 3: Cross multiply
    16,176.65x = 24,265.10 × 5,083.09
  4. Step 4: Simplify right side
    16,176.65x = 123,341,639.20
  5. Step 5: Solve for x
    x = 123,341,639.20/16,176.65
  6. Step 6: Final answer
    x = 7,624.67

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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.