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Finding the Fourth Proportional to 13,649.10, 20,461.47 and 5,327.18

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Solution

The fourth proportional to 13,649.10, 20,461.47 and 5,327.18 is: 7,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.10 : 20,461.47 = 5,327.18 : x
  2. Step 2: Convert to fraction form
    13,649.10/20,461.47 = 5,327.18/x
  3. Step 3: Cross multiply
    13,649.10x = 20,461.47 × 5,327.18
  4. Step 4: Simplify right side
    13,649.10x = 109,001,984.91
  5. Step 5: Solve for x
    x = 109,001,984.91/13,649.10
  6. Step 6: Final answer
    x = 7,986.02

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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.