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Finding the Fourth Proportional to 19,671.20, 29,490.77 and 9,147.86

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Solution

The fourth proportional to 19,671.20, 29,490.77 and 9,147.86 is: 13,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.20 : 29,490.77 = 9,147.86 : x
  2. Step 2: Convert to fraction form
    19,671.20/29,490.77 = 9,147.86/x
  3. Step 3: Cross multiply
    19,671.20x = 29,490.77 × 9,147.86
  4. Step 4: Simplify right side
    19,671.20x = 269,777,435.25
  5. Step 5: Solve for x
    x = 269,777,435.25/19,671.20
  6. Step 6: Final answer
    x = 13,714.34

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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.