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Finding the Fourth Proportional to 13,474.10, 18,594.72 and 7,808.87

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Solution

The fourth proportional to 13,474.10, 18,594.72 and 7,808.87 is: 10,776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.10 : 18,594.72 = 7,808.87 : x
  2. Step 2: Convert to fraction form
    13,474.10/18,594.72 = 7,808.87/x
  3. Step 3: Cross multiply
    13,474.10x = 18,594.72 × 7,808.87
  4. Step 4: Simplify right side
    13,474.10x = 145,203,658.19
  5. Step 5: Solve for x
    x = 145,203,658.19/13,474.10
  6. Step 6: Final answer
    x = 10,776.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.