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Finding the Fourth Proportional to 15,861.46, 23,795.67 and 4,769.14

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Solution

The fourth proportional to 15,861.46, 23,795.67 and 4,769.14 is: 7,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,861.46 : 23,795.67 = 4,769.14 : x
  2. Step 2: Convert to fraction form
    15,861.46/23,795.67 = 4,769.14/x
  3. Step 3: Cross multiply
    15,861.46x = 23,795.67 × 4,769.14
  4. Step 4: Simplify right side
    15,861.46x = 113,484,881.62
  5. Step 5: Solve for x
    x = 113,484,881.62/15,861.46
  6. Step 6: Final answer
    x = 7,154.76

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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.