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Finding the Fourth Proportional to 13,454.17, 20,181.03 and 6,053.39

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Solution

The fourth proportional to 13,454.17, 20,181.03 and 6,053.39 is: 9,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.17 : 20,181.03 = 6,053.39 : x
  2. Step 2: Convert to fraction form
    13,454.17/20,181.03 = 6,053.39/x
  3. Step 3: Cross multiply
    13,454.17x = 20,181.03 × 6,053.39
  4. Step 4: Simplify right side
    13,454.17x = 122,163,645.19
  5. Step 5: Solve for x
    x = 122,163,645.19/13,454.17
  6. Step 6: Final answer
    x = 9,079.98

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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.