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Finding the Fourth Proportional to 12,338.67, 17,027.81 and 7,032.63

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Solution

The fourth proportional to 12,338.67, 17,027.81 and 7,032.63 is: 9,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.67 : 17,027.81 = 7,032.63 : x
  2. Step 2: Convert to fraction form
    12,338.67/17,027.81 = 7,032.63/x
  3. Step 3: Cross multiply
    12,338.67x = 17,027.81 × 7,032.63
  4. Step 4: Simplify right side
    12,338.67x = 119,750,252.28
  5. Step 5: Solve for x
    x = 119,750,252.28/12,338.67
  6. Step 6: Final answer
    x = 9,705.28

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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.