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Finding the Fourth Proportional to 23,729.31, 35,598.51 and 7,939.32

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Solution

The fourth proportional to 23,729.31, 35,598.51 and 7,939.32 is: 11,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.31 : 35,598.51 = 7,939.32 : x
  2. Step 2: Convert to fraction form
    23,729.31/35,598.51 = 7,939.32/x
  3. Step 3: Cross multiply
    23,729.31x = 35,598.51 × 7,939.32
  4. Step 4: Simplify right side
    23,729.31x = 282,627,962.41
  5. Step 5: Solve for x
    x = 282,627,962.41/23,729.31
  6. Step 6: Final answer
    x = 11,910.50

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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.