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Finding the Fourth Proportional to 13,902.34, 19,187.07 and 7,932.64

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Solution

The fourth proportional to 13,902.34, 19,187.07 and 7,932.64 is: 10,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.34 : 19,187.07 = 7,932.64 : x
  2. Step 2: Convert to fraction form
    13,902.34/19,187.07 = 7,932.64/x
  3. Step 3: Cross multiply
    13,902.34x = 19,187.07 × 7,932.64
  4. Step 4: Simplify right side
    13,902.34x = 152,204,023.03
  5. Step 5: Solve for x
    x = 152,204,023.03/13,902.34
  6. Step 6: Final answer
    x = 10,948.09

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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.