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Finding the Fourth Proportional to 13,868.92, 20,803.65 and 6,471.37

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Solution

The fourth proportional to 13,868.92, 20,803.65 and 6,471.37 is: 9,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.92 : 20,803.65 = 6,471.37 : x
  2. Step 2: Convert to fraction form
    13,868.92/20,803.65 = 6,471.37/x
  3. Step 3: Cross multiply
    13,868.92x = 20,803.65 × 6,471.37
  4. Step 4: Simplify right side
    13,868.92x = 134,628,116.50
  5. Step 5: Solve for x
    x = 134,628,116.50/13,868.92
  6. Step 6: Final answer
    x = 9,707.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.