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Finding the Fourth Proportional to 23,798, 35,697.25 and 9,754.42

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Solution

The fourth proportional to 23,798, 35,697.25 and 9,754.42 is: 14,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798 : 35,697.25 = 9,754.42 : x
  2. Step 2: Convert to fraction form
    23,798/35,697.25 = 9,754.42/x
  3. Step 3: Cross multiply
    23,798x = 35,697.25 × 9,754.42
  4. Step 4: Simplify right side
    23,798x = 348,205,969.35
  5. Step 5: Solve for x
    x = 348,205,969.35/23,798
  6. Step 6: Final answer
    x = 14,631.73

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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.