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Finding the Fourth Proportional to 23,409.21, 35,082.82 and 12,293.17

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Solution

The fourth proportional to 23,409.21, 35,082.82 and 12,293.17 is: 18,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.21 : 35,082.82 = 12,293.17 : x
  2. Step 2: Convert to fraction form
    23,409.21/35,082.82 = 12,293.17/x
  3. Step 3: Cross multiply
    23,409.21x = 35,082.82 × 12,293.17
  4. Step 4: Simplify right side
    23,409.21x = 431,279,070.34
  5. Step 5: Solve for x
    x = 431,279,070.34/23,409.21
  6. Step 6: Final answer
    x = 18,423.48

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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.