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Finding the Fourth Proportional to 23,186.81, 34,784.92 and 9,859.78

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Solution

The fourth proportional to 23,186.81, 34,784.92 and 9,859.78 is: 14,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.81 : 34,784.92 = 9,859.78 : x
  2. Step 2: Convert to fraction form
    23,186.81/34,784.92 = 9,859.78/x
  3. Step 3: Cross multiply
    23,186.81x = 34,784.92 × 9,859.78
  4. Step 4: Simplify right side
    23,186.81x = 342,971,711.05
  5. Step 5: Solve for x
    x = 342,971,711.05/23,186.81
  6. Step 6: Final answer
    x = 14,791.67

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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.