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Finding the Fourth Proportional to 14,305.72, 21,454.38 and 5,538.54

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Solution

The fourth proportional to 14,305.72, 21,454.38 and 5,538.54 is: 8,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.72 : 21,454.38 = 5,538.54 : x
  2. Step 2: Convert to fraction form
    14,305.72/21,454.38 = 5,538.54/x
  3. Step 3: Cross multiply
    14,305.72x = 21,454.38 × 5,538.54
  4. Step 4: Simplify right side
    14,305.72x = 118,825,941.81
  5. Step 5: Solve for x
    x = 118,825,941.81/14,305.72
  6. Step 6: Final answer
    x = 8,306.18

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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.