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Finding the Fourth Proportional to 14,229.36, 21,345.08 and 5,464.28

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Solution

The fourth proportional to 14,229.36, 21,345.08 and 5,464.28 is: 8,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.36 : 21,345.08 = 5,464.28 : x
  2. Step 2: Convert to fraction form
    14,229.36/21,345.08 = 5,464.28/x
  3. Step 3: Cross multiply
    14,229.36x = 21,345.08 × 5,464.28
  4. Step 4: Simplify right side
    14,229.36x = 116,635,493.74
  5. Step 5: Solve for x
    x = 116,635,493.74/14,229.36
  6. Step 6: Final answer
    x = 8,196.82

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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.