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Finding the Fourth Proportional to 23,543.56, 35,318.94 and 7,957

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Solution

The fourth proportional to 23,543.56, 35,318.94 and 7,957 is: 11,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,543.56 : 35,318.94 = 7,957 : x
  2. Step 2: Convert to fraction form
    23,543.56/35,318.94 = 7,957/x
  3. Step 3: Cross multiply
    23,543.56x = 35,318.94 × 7,957
  4. Step 4: Simplify right side
    23,543.56x = 281,032,805.58
  5. Step 5: Solve for x
    x = 281,032,805.58/23,543.56
  6. Step 6: Final answer
    x = 11,936.72

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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.