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Finding the Fourth Proportional to 13,503.78, 20,246.22 and 6,475.41

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Solution

The fourth proportional to 13,503.78, 20,246.22 and 6,475.41 is: 9,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.78 : 20,246.22 = 6,475.41 : x
  2. Step 2: Convert to fraction form
    13,503.78/20,246.22 = 6,475.41/x
  3. Step 3: Cross multiply
    13,503.78x = 20,246.22 × 6,475.41
  4. Step 4: Simplify right side
    13,503.78x = 131,102,575.45
  5. Step 5: Solve for x
    x = 131,102,575.45/13,503.78
  6. Step 6: Final answer
    x = 9,708.58

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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.