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Finding the Fourth Proportional to 22,447.45, 30,975.37 and 13,015

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Solution

The fourth proportional to 22,447.45, 30,975.37 and 13,015 is: 17,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.45 : 30,975.37 = 13,015 : x
  2. Step 2: Convert to fraction form
    22,447.45/30,975.37 = 13,015/x
  3. Step 3: Cross multiply
    22,447.45x = 30,975.37 × 13,015
  4. Step 4: Simplify right side
    22,447.45x = 403,144,440.55
  5. Step 5: Solve for x
    x = 403,144,440.55/22,447.45
  6. Step 6: Final answer
    x = 17,959.48

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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.