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Finding the Fourth Proportional to 13,649.49, 20,465.19 and 5,330.30

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Solution

The fourth proportional to 13,649.49, 20,465.19 and 5,330.30 is: 7,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.49 : 20,465.19 = 5,330.30 : x
  2. Step 2: Convert to fraction form
    13,649.49/20,465.19 = 5,330.30/x
  3. Step 3: Cross multiply
    13,649.49x = 20,465.19 × 5,330.30
  4. Step 4: Simplify right side
    13,649.49x = 109,085,499.93
  5. Step 5: Solve for x
    x = 109,085,499.93/13,649.49
  6. Step 6: Final answer
    x = 7,991.91

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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.