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Finding the Fourth Proportional to 13,494, 18,621.32 and 7,525.54

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Solution

The fourth proportional to 13,494, 18,621.32 and 7,525.54 is: 10,385.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494 : 18,621.32 = 7,525.54 : x
  2. Step 2: Convert to fraction form
    13,494/18,621.32 = 7,525.54/x
  3. Step 3: Cross multiply
    13,494x = 18,621.32 × 7,525.54
  4. Step 4: Simplify right side
    13,494x = 140,135,488.51
  5. Step 5: Solve for x
    x = 140,135,488.51/13,494
  6. Step 6: Final answer
    x = 10,385.02

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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.