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Finding the Fourth Proportional to 13,871.32, 20,803.90 and 4,008.44

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Solution

The fourth proportional to 13,871.32, 20,803.90 and 4,008.44 is: 6,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.32 : 20,803.90 = 4,008.44 : x
  2. Step 2: Convert to fraction form
    13,871.32/20,803.90 = 4,008.44/x
  3. Step 3: Cross multiply
    13,871.32x = 20,803.90 × 4,008.44
  4. Step 4: Simplify right side
    13,871.32x = 83,391,184.92
  5. Step 5: Solve for x
    x = 83,391,184.92/13,871.32
  6. Step 6: Final answer
    x = 6,011.77

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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.