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Finding the Fourth Proportional to 13,868.19, 20,793.94 and 5,424.63

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Solution

The fourth proportional to 13,868.19, 20,793.94 and 5,424.63 is: 8,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.19 : 20,793.94 = 5,424.63 : x
  2. Step 2: Convert to fraction form
    13,868.19/20,793.94 = 5,424.63/x
  3. Step 3: Cross multiply
    13,868.19x = 20,793.94 × 5,424.63
  4. Step 4: Simplify right side
    13,868.19x = 112,799,430.74
  5. Step 5: Solve for x
    x = 112,799,430.74/13,868.19
  6. Step 6: Final answer
    x = 8,133.68

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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.