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Finding the Fourth Proportional to 23,422.34, 35,138.64 and 6,783.05

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Solution

The fourth proportional to 23,422.34, 35,138.64 and 6,783.05 is: 10,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.34 : 35,138.64 = 6,783.05 : x
  2. Step 2: Convert to fraction form
    23,422.34/35,138.64 = 6,783.05/x
  3. Step 3: Cross multiply
    23,422.34x = 35,138.64 × 6,783.05
  4. Step 4: Simplify right side
    23,422.34x = 238,346,976.36
  5. Step 5: Solve for x
    x = 238,346,976.36/23,422.34
  6. Step 6: Final answer
    x = 10,176.06

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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.