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Finding the Fourth Proportional to 13,871.16, 20,806.08 and 6,473.04

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Solution

The fourth proportional to 13,871.16, 20,806.08 and 6,473.04 is: 9,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.16 : 20,806.08 = 6,473.04 : x
  2. Step 2: Convert to fraction form
    13,871.16/20,806.08 = 6,473.04/x
  3. Step 3: Cross multiply
    13,871.16x = 20,806.08 × 6,473.04
  4. Step 4: Simplify right side
    13,871.16x = 134,678,588.08
  5. Step 5: Solve for x
    x = 134,678,588.08/13,871.16
  6. Step 6: Final answer
    x = 9,709.25

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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.