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Finding the Fourth Proportional to 19,684.88, 27,165.70 and 12,029.41

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Solution

The fourth proportional to 19,684.88, 27,165.70 and 12,029.41 is: 16,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.88 : 27,165.70 = 12,029.41 : x
  2. Step 2: Convert to fraction form
    19,684.88/27,165.70 = 12,029.41/x
  3. Step 3: Cross multiply
    19,684.88x = 27,165.70 × 12,029.41
  4. Step 4: Simplify right side
    19,684.88x = 326,787,147.26
  5. Step 5: Solve for x
    x = 326,787,147.26/19,684.88
  6. Step 6: Final answer
    x = 16,600.92

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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.