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Finding the Fourth Proportional to 12,347.79, 18,524.64 and 4,027.82

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Solution

The fourth proportional to 12,347.79, 18,524.64 and 4,027.82 is: 6,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.79 : 18,524.64 = 4,027.82 : x
  2. Step 2: Convert to fraction form
    12,347.79/18,524.64 = 4,027.82/x
  3. Step 3: Cross multiply
    12,347.79x = 18,524.64 × 4,027.82
  4. Step 4: Simplify right side
    12,347.79x = 74,613,915.48
  5. Step 5: Solve for x
    x = 74,613,915.48/12,347.79
  6. Step 6: Final answer
    x = 6,042.69

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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.