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Finding the Fourth Proportional to 12,297.63, 18,433.98 and 5,282.22

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Solution

The fourth proportional to 12,297.63, 18,433.98 and 5,282.22 is: 7,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.63 : 18,433.98 = 5,282.22 : x
  2. Step 2: Convert to fraction form
    12,297.63/18,433.98 = 5,282.22/x
  3. Step 3: Cross multiply
    12,297.63x = 18,433.98 × 5,282.22
  4. Step 4: Simplify right side
    12,297.63x = 97,372,337.84
  5. Step 5: Solve for x
    x = 97,372,337.84/12,297.63
  6. Step 6: Final answer
    x = 7,917.98

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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.