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Finding the Fourth Proportional to 23,754.80, 32,782.14 and 13,145.18

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Solution

The fourth proportional to 23,754.80, 32,782.14 and 13,145.18 is: 18,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.80 : 32,782.14 = 13,145.18 : x
  2. Step 2: Convert to fraction form
    23,754.80/32,782.14 = 13,145.18/x
  3. Step 3: Cross multiply
    23,754.80x = 32,782.14 × 13,145.18
  4. Step 4: Simplify right side
    23,754.80x = 430,927,131.09
  5. Step 5: Solve for x
    x = 430,927,131.09/23,754.80
  6. Step 6: Final answer
    x = 18,140.63

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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.