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Finding the Fourth Proportional to 13,811.42, 19,059.76 and 7,523.79

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Solution

The fourth proportional to 13,811.42, 19,059.76 and 7,523.79 is: 10,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.42 : 19,059.76 = 7,523.79 : x
  2. Step 2: Convert to fraction form
    13,811.42/19,059.76 = 7,523.79/x
  3. Step 3: Cross multiply
    13,811.42x = 19,059.76 × 7,523.79
  4. Step 4: Simplify right side
    13,811.42x = 143,401,631.69
  5. Step 5: Solve for x
    x = 143,401,631.69/13,811.42
  6. Step 6: Final answer
    x = 10,382.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.