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Finding the Fourth Proportional to 23,754.12, 32,781 and 13,143.72

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Solution

The fourth proportional to 23,754.12, 32,781 and 13,143.72 is: 18,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.12 : 32,781 = 13,143.72 : x
  2. Step 2: Convert to fraction form
    23,754.12/32,781 = 13,143.72/x
  3. Step 3: Cross multiply
    23,754.12x = 32,781 × 13,143.72
  4. Step 4: Simplify right side
    23,754.12x = 430,864,285.32
  5. Step 5: Solve for x
    x = 430,864,285.32/23,754.12
  6. Step 6: Final answer
    x = 18,138.51

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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.