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Finding the Fourth Proportional to 23,389.82, 32,236.20 and 17,711

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Solution

The fourth proportional to 23,389.82, 32,236.20 and 17,711 is: 24,409.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,389.82 : 32,236.20 = 17,711 : x
  2. Step 2: Convert to fraction form
    23,389.82/32,236.20 = 17,711/x
  3. Step 3: Cross multiply
    23,389.82x = 32,236.20 × 17,711
  4. Step 4: Simplify right side
    23,389.82x = 570,935,338.20
  5. Step 5: Solve for x
    x = 570,935,338.20/23,389.82
  6. Step 6: Final answer
    x = 24,409.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.