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Finding the Fourth Proportional to 23,753, 35,629.50 and 9,902

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Solution

The fourth proportional to 23,753, 35,629.50 and 9,902 is: 14,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753 : 35,629.50 = 9,902 : x
  2. Step 2: Convert to fraction form
    23,753/35,629.50 = 9,902/x
  3. Step 3: Cross multiply
    23,753x = 35,629.50 × 9,902
  4. Step 4: Simplify right side
    23,753x = 352,803,309
  5. Step 5: Solve for x
    x = 352,803,309/23,753
  6. Step 6: Final answer
    x = 14,853

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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.