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Finding the Fourth Proportional to 13,447.61, 20,174.14 and 4,683.20

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Solution

The fourth proportional to 13,447.61, 20,174.14 and 4,683.20 is: 7,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.61 : 20,174.14 = 4,683.20 : x
  2. Step 2: Convert to fraction form
    13,447.61/20,174.14 = 4,683.20/x
  3. Step 3: Cross multiply
    13,447.61x = 20,174.14 × 4,683.20
  4. Step 4: Simplify right side
    13,447.61x = 94,479,588.74
  5. Step 5: Solve for x
    x = 94,479,588.74/13,447.61
  6. Step 6: Final answer
    x = 7,025.76

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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.