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Finding the Fourth Proportional to 13,019.67, 19,512.45 and 5,233.95

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Solution

The fourth proportional to 13,019.67, 19,512.45 and 5,233.95 is: 7,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.67 : 19,512.45 = 5,233.95 : x
  2. Step 2: Convert to fraction form
    13,019.67/19,512.45 = 5,233.95/x
  3. Step 3: Cross multiply
    13,019.67x = 19,512.45 × 5,233.95
  4. Step 4: Simplify right side
    13,019.67x = 102,127,187.68
  5. Step 5: Solve for x
    x = 102,127,187.68/13,019.67
  6. Step 6: Final answer
    x = 7,844.07

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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.