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Finding the Fourth Proportional to 14,516.28, 21,759.12 and 5,739.12

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Solution

The fourth proportional to 14,516.28, 21,759.12 and 5,739.12 is: 8,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.28 : 21,759.12 = 5,739.12 : x
  2. Step 2: Convert to fraction form
    14,516.28/21,759.12 = 5,739.12/x
  3. Step 3: Cross multiply
    14,516.28x = 21,759.12 × 5,739.12
  4. Step 4: Simplify right side
    14,516.28x = 124,878,200.77
  5. Step 5: Solve for x
    x = 124,878,200.77/14,516.28
  6. Step 6: Final answer
    x = 8,602.63

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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.