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Finding the Fourth Proportional to 13,425.72, 18,528.42 and 7,761.48

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Solution

The fourth proportional to 13,425.72, 18,528.42 and 7,761.48 is: 10,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.72 : 18,528.42 = 7,761.48 : x
  2. Step 2: Convert to fraction form
    13,425.72/18,528.42 = 7,761.48/x
  3. Step 3: Cross multiply
    13,425.72x = 18,528.42 × 7,761.48
  4. Step 4: Simplify right side
    13,425.72x = 143,807,961.26
  5. Step 5: Solve for x
    x = 143,807,961.26/13,425.72
  6. Step 6: Final answer
    x = 10,711.38

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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.