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Finding the Fourth Proportional to 23,342.10, 35,007.81 and 6,702

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Solution

The fourth proportional to 23,342.10, 35,007.81 and 6,702 is: 10,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.10 : 35,007.81 = 6,702 : x
  2. Step 2: Convert to fraction form
    23,342.10/35,007.81 = 6,702/x
  3. Step 3: Cross multiply
    23,342.10x = 35,007.81 × 6,702
  4. Step 4: Simplify right side
    23,342.10x = 234,622,342.62
  5. Step 5: Solve for x
    x = 234,622,342.62/23,342.10
  6. Step 6: Final answer
    x = 10,051.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.