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Finding the Fourth Proportional to 12,954.03, 19,409.17 and 10,351.50

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Solution

The fourth proportional to 12,954.03, 19,409.17 and 10,351.50 is: 15,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.03 : 19,409.17 = 10,351.50 : x
  2. Step 2: Convert to fraction form
    12,954.03/19,409.17 = 10,351.50/x
  3. Step 3: Cross multiply
    12,954.03x = 19,409.17 × 10,351.50
  4. Step 4: Simplify right side
    12,954.03x = 200,914,023.26
  5. Step 5: Solve for x
    x = 200,914,023.26/12,954.03
  6. Step 6: Final answer
    x = 15,509.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.