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Finding the Fourth Proportional to 21,657.12, 32,489.07 and 9,177.22

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Solution

The fourth proportional to 21,657.12, 32,489.07 and 9,177.22 is: 13,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.12 : 32,489.07 = 9,177.22 : x
  2. Step 2: Convert to fraction form
    21,657.12/32,489.07 = 9,177.22/x
  3. Step 3: Cross multiply
    21,657.12x = 32,489.07 × 9,177.22
  4. Step 4: Simplify right side
    21,657.12x = 298,159,342.99
  5. Step 5: Solve for x
    x = 298,159,342.99/21,657.12
  6. Step 6: Final answer
    x = 13,767.27

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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.