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Finding the Fourth Proportional to 13,656.54, 20,486.03 and 5,863.53

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Solution

The fourth proportional to 13,656.54, 20,486.03 and 5,863.53 is: 8,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.54 : 20,486.03 = 5,863.53 : x
  2. Step 2: Convert to fraction form
    13,656.54/20,486.03 = 5,863.53/x
  3. Step 3: Cross multiply
    13,656.54x = 20,486.03 × 5,863.53
  4. Step 4: Simplify right side
    13,656.54x = 120,120,422.17
  5. Step 5: Solve for x
    x = 120,120,422.17/13,656.54
  6. Step 6: Final answer
    x = 8,795.82

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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.