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Finding the Fourth Proportional to 12,656.52, 17,469.54 and 8,464.50

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Solution

The fourth proportional to 12,656.52, 17,469.54 and 8,464.50 is: 11,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.52 : 17,469.54 = 8,464.50 : x
  2. Step 2: Convert to fraction form
    12,656.52/17,469.54 = 8,464.50/x
  3. Step 3: Cross multiply
    12,656.52x = 17,469.54 × 8,464.50
  4. Step 4: Simplify right side
    12,656.52x = 147,870,921.33
  5. Step 5: Solve for x
    x = 147,870,921.33/12,656.52
  6. Step 6: Final answer
    x = 11,683.38

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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.