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Finding the Fourth Proportional to 14,229.68, 21,349.80 and 5,465.84

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Solution

The fourth proportional to 14,229.68, 21,349.80 and 5,465.84 is: 8,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.68 : 21,349.80 = 5,465.84 : x
  2. Step 2: Convert to fraction form
    14,229.68/21,349.80 = 5,465.84/x
  3. Step 3: Cross multiply
    14,229.68x = 21,349.80 × 5,465.84
  4. Step 4: Simplify right side
    14,229.68x = 116,694,590.83
  5. Step 5: Solve for x
    x = 116,694,590.83/14,229.68
  6. Step 6: Final answer
    x = 8,200.79

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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.