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Finding the Fourth Proportional to 12,427.93, 17,150.03 and 6,838.57

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Solution

The fourth proportional to 12,427.93, 17,150.03 and 6,838.57 is: 9,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.93 : 17,150.03 = 6,838.57 : x
  2. Step 2: Convert to fraction form
    12,427.93/17,150.03 = 6,838.57/x
  3. Step 3: Cross multiply
    12,427.93x = 17,150.03 × 6,838.57
  4. Step 4: Simplify right side
    12,427.93x = 117,281,646.46
  5. Step 5: Solve for x
    x = 117,281,646.46/12,427.93
  6. Step 6: Final answer
    x = 9,436.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.