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Finding the Fourth Proportional to 23,782.14, 35,680.41 and 8,995.59

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Solution

The fourth proportional to 23,782.14, 35,680.41 and 8,995.59 is: 13,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.14 : 35,680.41 = 8,995.59 : x
  2. Step 2: Convert to fraction form
    23,782.14/35,680.41 = 8,995.59/x
  3. Step 3: Cross multiply
    23,782.14x = 35,680.41 × 8,995.59
  4. Step 4: Simplify right side
    23,782.14x = 320,966,339.39
  5. Step 5: Solve for x
    x = 320,966,339.39/23,782.14
  6. Step 6: Final answer
    x = 13,496.11

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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.