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Finding the Fourth Proportional to 12,524.44, 17,283.70 and 7,219.22

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Solution

The fourth proportional to 12,524.44, 17,283.70 and 7,219.22 is: 9,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.44 : 17,283.70 = 7,219.22 : x
  2. Step 2: Convert to fraction form
    12,524.44/17,283.70 = 7,219.22/x
  3. Step 3: Cross multiply
    12,524.44x = 17,283.70 × 7,219.22
  4. Step 4: Simplify right side
    12,524.44x = 124,774,832.71
  5. Step 5: Solve for x
    x = 124,774,832.71/12,524.44
  6. Step 6: Final answer
    x = 9,962.51

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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.