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Finding the Fourth Proportional to 13,808.54, 19,057.11 and 8,506.46

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Solution

The fourth proportional to 13,808.54, 19,057.11 and 8,506.46 is: 11,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.54 : 19,057.11 = 8,506.46 : x
  2. Step 2: Convert to fraction form
    13,808.54/19,057.11 = 8,506.46/x
  3. Step 3: Cross multiply
    13,808.54x = 19,057.11 × 8,506.46
  4. Step 4: Simplify right side
    13,808.54x = 162,108,543.93
  5. Step 5: Solve for x
    x = 162,108,543.93/13,808.54
  6. Step 6: Final answer
    x = 11,739.73

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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.