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Finding the Fourth Proportional to 21,652, 32,454.72 and 9,169.12

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Solution

The fourth proportional to 21,652, 32,454.72 and 9,169.12 is: 13,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652 : 32,454.72 = 9,169.12 : x
  2. Step 2: Convert to fraction form
    21,652/32,454.72 = 9,169.12/x
  3. Step 3: Cross multiply
    21,652x = 32,454.72 × 9,169.12
  4. Step 4: Simplify right side
    21,652x = 297,581,222.25
  5. Step 5: Solve for x
    x = 297,581,222.25/21,652
  6. Step 6: Final answer
    x = 13,743.82

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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.