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Finding the Fourth Proportional to 13,406.04, 20,082.90 and 8,775

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Solution

The fourth proportional to 13,406.04, 20,082.90 and 8,775 is: 13,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.04 : 20,082.90 = 8,775 : x
  2. Step 2: Convert to fraction form
    13,406.04/20,082.90 = 8,775/x
  3. Step 3: Cross multiply
    13,406.04x = 20,082.90 × 8,775
  4. Step 4: Simplify right side
    13,406.04x = 176,227,447.50
  5. Step 5: Solve for x
    x = 176,227,447.50/13,406.04
  6. Step 6: Final answer
    x = 13,145.38

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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.