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Finding the Fourth Proportional to 16,674.86, 25,012.33 and 6,814.13

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Solution

The fourth proportional to 16,674.86, 25,012.33 and 6,814.13 is: 10,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,674.86 : 25,012.33 = 6,814.13 : x
  2. Step 2: Convert to fraction form
    16,674.86/25,012.33 = 6,814.13/x
  3. Step 3: Cross multiply
    16,674.86x = 25,012.33 × 6,814.13
  4. Step 4: Simplify right side
    16,674.86x = 170,437,313.72
  5. Step 5: Solve for x
    x = 170,437,313.72/16,674.86
  6. Step 6: Final answer
    x = 10,221.22

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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.