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Finding the Fourth Proportional to 14,108.57, 21,162.99 and 5,782.77

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Solution

The fourth proportional to 14,108.57, 21,162.99 and 5,782.77 is: 8,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.57 : 21,162.99 = 5,782.77 : x
  2. Step 2: Convert to fraction form
    14,108.57/21,162.99 = 5,782.77/x
  3. Step 3: Cross multiply
    14,108.57x = 21,162.99 × 5,782.77
  4. Step 4: Simplify right side
    14,108.57x = 122,380,703.68
  5. Step 5: Solve for x
    x = 122,380,703.68/14,108.57
  6. Step 6: Final answer
    x = 8,674.21

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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.