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Finding the Fourth Proportional to 23,754.82, 32,782.16 and 13,145.16

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Solution

The fourth proportional to 23,754.82, 32,782.16 and 13,145.16 is: 18,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.82 : 32,782.16 = 13,145.16 : x
  2. Step 2: Convert to fraction form
    23,754.82/32,782.16 = 13,145.16/x
  3. Step 3: Cross multiply
    23,754.82x = 32,782.16 × 13,145.16
  4. Step 4: Simplify right side
    23,754.82x = 430,926,738.35
  5. Step 5: Solve for x
    x = 430,926,738.35/23,754.82
  6. Step 6: Final answer
    x = 18,140.60

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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.