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Finding the Fourth Proportional to 22,447.98, 30,976.02 and 13,015.50

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Solution

The fourth proportional to 22,447.98, 30,976.02 and 13,015.50 is: 17,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.98 : 30,976.02 = 13,015.50 : x
  2. Step 2: Convert to fraction form
    22,447.98/30,976.02 = 13,015.50/x
  3. Step 3: Cross multiply
    22,447.98x = 30,976.02 × 13,015.50
  4. Step 4: Simplify right side
    22,447.98x = 403,168,388.31
  5. Step 5: Solve for x
    x = 403,168,388.31/22,447.98
  6. Step 6: Final answer
    x = 17,960.12

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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.