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Finding the Fourth Proportional to 13,410.15, 20,129.94 and 10,654.53

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Solution

The fourth proportional to 13,410.15, 20,129.94 and 10,654.53 is: 15,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.15 : 20,129.94 = 10,654.53 : x
  2. Step 2: Convert to fraction form
    13,410.15/20,129.94 = 10,654.53/x
  3. Step 3: Cross multiply
    13,410.15x = 20,129.94 × 10,654.53
  4. Step 4: Simplify right side
    13,410.15x = 214,475,049.63
  5. Step 5: Solve for x
    x = 214,475,049.63/13,410.15
  6. Step 6: Final answer
    x = 15,993.49

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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.