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Finding the Fourth Proportional to 13,421.42, 20,132.13 and 5,099.48

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Solution

The fourth proportional to 13,421.42, 20,132.13 and 5,099.48 is: 7,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.42 : 20,132.13 = 5,099.48 : x
  2. Step 2: Convert to fraction form
    13,421.42/20,132.13 = 5,099.48/x
  3. Step 3: Cross multiply
    13,421.42x = 20,132.13 × 5,099.48
  4. Step 4: Simplify right side
    13,421.42x = 102,663,293.63
  5. Step 5: Solve for x
    x = 102,663,293.63/13,421.42
  6. Step 6: Final answer
    x = 7,649.22

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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.