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Finding the Fourth Proportional to 13,954.23, 19,258.02 and 7,667.82

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Solution

The fourth proportional to 13,954.23, 19,258.02 and 7,667.82 is: 10,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.23 : 19,258.02 = 7,667.82 : x
  2. Step 2: Convert to fraction form
    13,954.23/19,258.02 = 7,667.82/x
  3. Step 3: Cross multiply
    13,954.23x = 19,258.02 × 7,667.82
  4. Step 4: Simplify right side
    13,954.23x = 147,667,030.92
  5. Step 5: Solve for x
    x = 147,667,030.92/13,954.23
  6. Step 6: Final answer
    x = 10,582.24

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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.