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Finding the Fourth Proportional to 13,013.74, 19,524.26 and 5,228.02

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Solution

The fourth proportional to 13,013.74, 19,524.26 and 5,228.02 is: 7,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.74 : 19,524.26 = 5,228.02 : x
  2. Step 2: Convert to fraction form
    13,013.74/19,524.26 = 5,228.02/x
  3. Step 3: Cross multiply
    13,013.74x = 19,524.26 × 5,228.02
  4. Step 4: Simplify right side
    13,013.74x = 102,073,221.77
  5. Step 5: Solve for x
    x = 102,073,221.77/13,013.74
  6. Step 6: Final answer
    x = 7,843.50

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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.