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Finding the Fourth Proportional to 12,427.83, 17,150.94 and 7,123.14

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Solution

The fourth proportional to 12,427.83, 17,150.94 and 7,123.14 is: 9,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.83 : 17,150.94 = 7,123.14 : x
  2. Step 2: Convert to fraction form
    12,427.83/17,150.94 = 7,123.14/x
  3. Step 3: Cross multiply
    12,427.83x = 17,150.94 × 7,123.14
  4. Step 4: Simplify right side
    12,427.83x = 122,168,546.75
  5. Step 5: Solve for x
    x = 122,168,546.75/12,427.83
  6. Step 6: Final answer
    x = 9,830.24

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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.