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Finding the Fourth Proportional to 13,859, 20,788.50 and 5,542.76

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Solution

The fourth proportional to 13,859, 20,788.50 and 5,542.76 is: 8,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859 : 20,788.50 = 5,542.76 : x
  2. Step 2: Convert to fraction form
    13,859/20,788.50 = 5,542.76/x
  3. Step 3: Cross multiply
    13,859x = 20,788.50 × 5,542.76
  4. Step 4: Simplify right side
    13,859x = 115,225,666.26
  5. Step 5: Solve for x
    x = 115,225,666.26/13,859
  6. Step 6: Final answer
    x = 8,314.14

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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.