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Finding the Fourth Proportional to 13,424.18, 20,134.71 and 3,564.23

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Solution

The fourth proportional to 13,424.18, 20,134.71 and 3,564.23 is: 5,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.18 : 20,134.71 = 3,564.23 : x
  2. Step 2: Convert to fraction form
    13,424.18/20,134.71 = 3,564.23/x
  3. Step 3: Cross multiply
    13,424.18x = 20,134.71 × 3,564.23
  4. Step 4: Simplify right side
    13,424.18x = 71,764,737.42
  5. Step 5: Solve for x
    x = 71,764,737.42/13,424.18
  6. Step 6: Final answer
    x = 5,345.93

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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.