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Finding the Fourth Proportional to 13,811.52, 19,059.36 and 7,523.84

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Solution

The fourth proportional to 13,811.52, 19,059.36 and 7,523.84 is: 10,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.52 : 19,059.36 = 7,523.84 : x
  2. Step 2: Convert to fraction form
    13,811.52/19,059.36 = 7,523.84/x
  3. Step 3: Cross multiply
    13,811.52x = 19,059.36 × 7,523.84
  4. Step 4: Simplify right side
    13,811.52x = 143,399,575.14
  5. Step 5: Solve for x
    x = 143,399,575.14/13,811.52
  6. Step 6: Final answer
    x = 10,382.61

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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.