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Finding the Fourth Proportional to 14,216.48, 21,327.24 and 6,834.32

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Solution

The fourth proportional to 14,216.48, 21,327.24 and 6,834.32 is: 10,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.48 : 21,327.24 = 6,834.32 : x
  2. Step 2: Convert to fraction form
    14,216.48/21,327.24 = 6,834.32/x
  3. Step 3: Cross multiply
    14,216.48x = 21,327.24 × 6,834.32
  4. Step 4: Simplify right side
    14,216.48x = 145,757,182.88
  5. Step 5: Solve for x
    x = 145,757,182.88/14,216.48
  6. Step 6: Final answer
    x = 10,252.69

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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.