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Finding the Fourth Proportional to 16,385.99, 24,572.75 and 5,854.05

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Solution

The fourth proportional to 16,385.99, 24,572.75 and 5,854.05 is: 8,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.99 : 24,572.75 = 5,854.05 : x
  2. Step 2: Convert to fraction form
    16,385.99/24,572.75 = 5,854.05/x
  3. Step 3: Cross multiply
    16,385.99x = 24,572.75 × 5,854.05
  4. Step 4: Simplify right side
    16,385.99x = 143,850,077.87
  5. Step 5: Solve for x
    x = 143,850,077.87/16,385.99
  6. Step 6: Final answer
    x = 8,778.85

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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.