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Finding the Fourth Proportional to 13,384.93, 20,077.63 and 3,523.84

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Solution

The fourth proportional to 13,384.93, 20,077.63 and 3,523.84 is: 5,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.93 : 20,077.63 = 3,523.84 : x
  2. Step 2: Convert to fraction form
    13,384.93/20,077.63 = 3,523.84/x
  3. Step 3: Cross multiply
    13,384.93x = 20,077.63 × 3,523.84
  4. Step 4: Simplify right side
    13,384.93x = 70,750,355.70
  5. Step 5: Solve for x
    x = 70,750,355.70/13,384.93
  6. Step 6: Final answer
    x = 5,285.82

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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.