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Finding the Fourth Proportional to 23,837.50, 32,894.61 and 13,082.12

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Solution

The fourth proportional to 23,837.50, 32,894.61 and 13,082.12 is: 18,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.50 : 32,894.61 = 13,082.12 : x
  2. Step 2: Convert to fraction form
    23,837.50/32,894.61 = 13,082.12/x
  3. Step 3: Cross multiply
    23,837.50x = 32,894.61 × 13,082.12
  4. Step 4: Simplify right side
    23,837.50x = 430,331,235.37
  5. Step 5: Solve for x
    x = 430,331,235.37/23,837.50
  6. Step 6: Final answer
    x = 18,052.70

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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.