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Finding the Fourth Proportional to 16,021.14, 24,027.84 and 7,131.66

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Solution

The fourth proportional to 16,021.14, 24,027.84 and 7,131.66 is: 10,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.14 : 24,027.84 = 7,131.66 : x
  2. Step 2: Convert to fraction form
    16,021.14/24,027.84 = 7,131.66/x
  3. Step 3: Cross multiply
    16,021.14x = 24,027.84 × 7,131.66
  4. Step 4: Simplify right side
    16,021.14x = 171,358,385.41
  5. Step 5: Solve for x
    x = 171,358,385.41/16,021.14
  6. Step 6: Final answer
    x = 10,695.77

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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.