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Finding the Fourth Proportional to 13,649.32, 20,464.98 and 5,330.26

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Solution

The fourth proportional to 13,649.32, 20,464.98 and 5,330.26 is: 7,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.32 : 20,464.98 = 5,330.26 : x
  2. Step 2: Convert to fraction form
    13,649.32/20,464.98 = 5,330.26/x
  3. Step 3: Cross multiply
    13,649.32x = 20,464.98 × 5,330.26
  4. Step 4: Simplify right side
    13,649.32x = 109,083,664.29
  5. Step 5: Solve for x
    x = 109,083,664.29/13,649.32
  6. Step 6: Final answer
    x = 7,991.88

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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.