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Finding the Fourth Proportional to 19,671.94, 29,494.24 and 10,161.22

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Solution

The fourth proportional to 19,671.94, 29,494.24 and 10,161.22 is: 15,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.94 : 29,494.24 = 10,161.22 : x
  2. Step 2: Convert to fraction form
    19,671.94/29,494.24 = 10,161.22/x
  3. Step 3: Cross multiply
    19,671.94x = 29,494.24 × 10,161.22
  4. Step 4: Simplify right side
    19,671.94x = 299,697,461.37
  5. Step 5: Solve for x
    x = 299,697,461.37/19,671.94
  6. Step 6: Final answer
    x = 15,234.77

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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.