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Finding the Fourth Proportional to 13,811.46, 19,059.78 and 7,523.82

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Solution

The fourth proportional to 13,811.46, 19,059.78 and 7,523.82 is: 10,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.46 : 19,059.78 = 7,523.82 : x
  2. Step 2: Convert to fraction form
    13,811.46/19,059.78 = 7,523.82/x
  3. Step 3: Cross multiply
    13,811.46x = 19,059.78 × 7,523.82
  4. Step 4: Simplify right side
    13,811.46x = 143,402,353.96
  5. Step 5: Solve for x
    x = 143,402,353.96/13,811.46
  6. Step 6: Final answer
    x = 10,382.85

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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.