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Finding the Fourth Proportional to 14,625.32, 21,947.76 and 6,834.80

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Solution

The fourth proportional to 14,625.32, 21,947.76 and 6,834.80 is: 10,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.32 : 21,947.76 = 6,834.80 : x
  2. Step 2: Convert to fraction form
    14,625.32/21,947.76 = 6,834.80/x
  3. Step 3: Cross multiply
    14,625.32x = 21,947.76 × 6,834.80
  4. Step 4: Simplify right side
    14,625.32x = 150,008,550.05
  5. Step 5: Solve for x
    x = 150,008,550.05/14,625.32
  6. Step 6: Final answer
    x = 10,256.77

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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.