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Finding the Fourth Proportional to 12,524.23, 17,284.28 and 7,219.39

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Solution

The fourth proportional to 12,524.23, 17,284.28 and 7,219.39 is: 9,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.23 : 17,284.28 = 7,219.39 : x
  2. Step 2: Convert to fraction form
    12,524.23/17,284.28 = 7,219.39/x
  3. Step 3: Cross multiply
    12,524.23x = 17,284.28 × 7,219.39
  4. Step 4: Simplify right side
    12,524.23x = 124,781,958.19
  5. Step 5: Solve for x
    x = 124,781,958.19/12,524.23
  6. Step 6: Final answer
    x = 9,963.24

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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.