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Finding the Fourth Proportional to 13,137, 19,701.24 and 4,369.56

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Solution

The fourth proportional to 13,137, 19,701.24 and 4,369.56 is: 6,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 19,701.24 = 4,369.56 : x
  2. Step 2: Convert to fraction form
    13,137/19,701.24 = 4,369.56/x
  3. Step 3: Cross multiply
    13,137x = 19,701.24 × 4,369.56
  4. Step 4: Simplify right side
    13,137x = 86,085,750.25
  5. Step 5: Solve for x
    x = 86,085,750.25/13,137
  6. Step 6: Final answer
    x = 6,552.92

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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.