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Finding the Fourth Proportional to 14,500.53, 21,735.50 and 5,723.37

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Solution

The fourth proportional to 14,500.53, 21,735.50 and 5,723.37 is: 8,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.53 : 21,735.50 = 5,723.37 : x
  2. Step 2: Convert to fraction form
    14,500.53/21,735.50 = 5,723.37/x
  3. Step 3: Cross multiply
    14,500.53x = 21,735.50 × 5,723.37
  4. Step 4: Simplify right side
    14,500.53x = 124,400,280.02
  5. Step 5: Solve for x
    x = 124,400,280.02/14,500.53
  6. Step 6: Final answer
    x = 8,579.02

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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.