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Finding the Fourth Proportional to 13,122.70, 19,683.88 and 3,762.92

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Solution

The fourth proportional to 13,122.70, 19,683.88 and 3,762.92 is: 5,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.70 : 19,683.88 = 3,762.92 : x
  2. Step 2: Convert to fraction form
    13,122.70/19,683.88 = 3,762.92/x
  3. Step 3: Cross multiply
    13,122.70x = 19,683.88 × 3,762.92
  4. Step 4: Simplify right side
    13,122.70x = 74,068,865.73
  5. Step 5: Solve for x
    x = 74,068,865.73/13,122.70
  6. Step 6: Final answer
    x = 5,644.33

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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.