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Finding the Fourth Proportional to 12,427.93, 17,150.53 and 6,838.93

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Solution

The fourth proportional to 12,427.93, 17,150.53 and 6,838.93 is: 9,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.93 : 17,150.53 = 6,838.93 : x
  2. Step 2: Convert to fraction form
    12,427.93/17,150.53 = 6,838.93/x
  3. Step 3: Cross multiply
    12,427.93x = 17,150.53 × 6,838.93
  4. Step 4: Simplify right side
    12,427.93x = 117,291,188.38
  5. Step 5: Solve for x
    x = 117,291,188.38/12,427.93
  6. Step 6: Final answer
    x = 9,437.71

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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.