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Finding the Fourth Proportional to 23,439, 35,164.26 and 7,023

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Solution

The fourth proportional to 23,439, 35,164.26 and 7,023 is: 10,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,439 : 35,164.26 = 7,023 : x
  2. Step 2: Convert to fraction form
    23,439/35,164.26 = 7,023/x
  3. Step 3: Cross multiply
    23,439x = 35,164.26 × 7,023
  4. Step 4: Simplify right side
    23,439x = 246,958,597.98
  5. Step 5: Solve for x
    x = 246,958,597.98/23,439
  6. Step 6: Final answer
    x = 10,536.23

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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.