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Finding the Fourth Proportional to 13,599, 20,398.64 and 4,834.26

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Solution

The fourth proportional to 13,599, 20,398.64 and 4,834.26 is: 7,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599 : 20,398.64 = 4,834.26 : x
  2. Step 2: Convert to fraction form
    13,599/20,398.64 = 4,834.26/x
  3. Step 3: Cross multiply
    13,599x = 20,398.64 × 4,834.26
  4. Step 4: Simplify right side
    13,599x = 98,612,305.24
  5. Step 5: Solve for x
    x = 98,612,305.24/13,599
  6. Step 6: Final answer
    x = 7,251.44

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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.