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Finding the Fourth Proportional to 12,427.76, 17,150.38 and 6,762.55

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Solution

The fourth proportional to 12,427.76, 17,150.38 and 6,762.55 is: 9,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.76 : 17,150.38 = 6,762.55 : x
  2. Step 2: Convert to fraction form
    12,427.76/17,150.38 = 6,762.55/x
  3. Step 3: Cross multiply
    12,427.76x = 17,150.38 × 6,762.55
  4. Step 4: Simplify right side
    12,427.76x = 115,980,302.27
  5. Step 5: Solve for x
    x = 115,980,302.27/12,427.76
  6. Step 6: Final answer
    x = 9,332.36

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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.