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Finding the Fourth Proportional to 14,530.68, 21,782.25 and 5,759.19

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Solution

The fourth proportional to 14,530.68, 21,782.25 and 5,759.19 is: 8,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.68 : 21,782.25 = 5,759.19 : x
  2. Step 2: Convert to fraction form
    14,530.68/21,782.25 = 5,759.19/x
  3. Step 3: Cross multiply
    14,530.68x = 21,782.25 × 5,759.19
  4. Step 4: Simplify right side
    14,530.68x = 125,448,116.38
  5. Step 5: Solve for x
    x = 125,448,116.38/14,530.68
  6. Step 6: Final answer
    x = 8,633.33

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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.