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Finding the Fourth Proportional to 13,865.34, 20,782.62 and 6,471.66

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Solution

The fourth proportional to 13,865.34, 20,782.62 and 6,471.66 is: 9,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.34 : 20,782.62 = 6,471.66 : x
  2. Step 2: Convert to fraction form
    13,865.34/20,782.62 = 6,471.66/x
  3. Step 3: Cross multiply
    13,865.34x = 20,782.62 × 6,471.66
  4. Step 4: Simplify right side
    13,865.34x = 134,498,050.55
  5. Step 5: Solve for x
    x = 134,498,050.55/13,865.34
  6. Step 6: Final answer
    x = 9,700.31

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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.