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Finding the Fourth Proportional to 14,269.57, 21,403.85 and 3,739.50

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Solution

The fourth proportional to 14,269.57, 21,403.85 and 3,739.50 is: 5,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.57 : 21,403.85 = 3,739.50 : x
  2. Step 2: Convert to fraction form
    14,269.57/21,403.85 = 3,739.50/x
  3. Step 3: Cross multiply
    14,269.57x = 21,403.85 × 3,739.50
  4. Step 4: Simplify right side
    14,269.57x = 80,039,718.51
  5. Step 5: Solve for x
    x = 80,039,718.51/14,269.57
  6. Step 6: Final answer
    x = 5,609.12

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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.