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Finding the Fourth Proportional to 16,879.90, 25,319.85 and 5,785.10

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Solution

The fourth proportional to 16,879.90, 25,319.85 and 5,785.10 is: 8,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,879.90 : 25,319.85 = 5,785.10 : x
  2. Step 2: Convert to fraction form
    16,879.90/25,319.85 = 5,785.10/x
  3. Step 3: Cross multiply
    16,879.90x = 25,319.85 × 5,785.10
  4. Step 4: Simplify right side
    16,879.90x = 146,477,864.24
  5. Step 5: Solve for x
    x = 146,477,864.24/16,879.90
  6. Step 6: Final answer
    x = 8,677.65

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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.