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Finding the Fourth Proportional to 13,684.12, 20,533.87 and 7,444.57

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Solution

The fourth proportional to 13,684.12, 20,533.87 and 7,444.57 is: 11,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.12 : 20,533.87 = 7,444.57 : x
  2. Step 2: Convert to fraction form
    13,684.12/20,533.87 = 7,444.57/x
  3. Step 3: Cross multiply
    13,684.12x = 20,533.87 × 7,444.57
  4. Step 4: Simplify right side
    13,684.12x = 152,865,876.86
  5. Step 5: Solve for x
    x = 152,865,876.86/13,684.12
  6. Step 6: Final answer
    x = 11,171.04

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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.