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Finding the Fourth Proportional to 13,488.41, 20,213.78 and 6,900.68

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Solution

The fourth proportional to 13,488.41, 20,213.78 and 6,900.68 is: 10,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.41 : 20,213.78 = 6,900.68 : x
  2. Step 2: Convert to fraction form
    13,488.41/20,213.78 = 6,900.68/x
  3. Step 3: Cross multiply
    13,488.41x = 20,213.78 × 6,900.68
  4. Step 4: Simplify right side
    13,488.41x = 139,488,691.80
  5. Step 5: Solve for x
    x = 139,488,691.80/13,488.41
  6. Step 6: Final answer
    x = 10,341.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.