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Finding the Fourth Proportional to 13,871.96, 20,807.12 and 4,011.02

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Solution

The fourth proportional to 13,871.96, 20,807.12 and 4,011.02 is: 6,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.96 : 20,807.12 = 4,011.02 : x
  2. Step 2: Convert to fraction form
    13,871.96/20,807.12 = 4,011.02/x
  3. Step 3: Cross multiply
    13,871.96x = 20,807.12 × 4,011.02
  4. Step 4: Simplify right side
    13,871.96x = 83,457,680.45
  5. Step 5: Solve for x
    x = 83,457,680.45/13,871.96
  6. Step 6: Final answer
    x = 6,016.29

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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.