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Finding the Fourth Proportional to 19,163.82, 28,746.54 and 6,685.10

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Solution

The fourth proportional to 19,163.82, 28,746.54 and 6,685.10 is: 10,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,163.82 : 28,746.54 = 6,685.10 : x
  2. Step 2: Convert to fraction form
    19,163.82/28,746.54 = 6,685.10/x
  3. Step 3: Cross multiply
    19,163.82x = 28,746.54 × 6,685.10
  4. Step 4: Simplify right side
    19,163.82x = 192,173,494.55
  5. Step 5: Solve for x
    x = 192,173,494.55/19,163.82
  6. Step 6: Final answer
    x = 10,027.93

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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.