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Finding the Fourth Proportional to 23,749, 35,623.50 and 9,898

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Solution

The fourth proportional to 23,749, 35,623.50 and 9,898 is: 14,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,749 : 35,623.50 = 9,898 : x
  2. Step 2: Convert to fraction form
    23,749/35,623.50 = 9,898/x
  3. Step 3: Cross multiply
    23,749x = 35,623.50 × 9,898
  4. Step 4: Simplify right side
    23,749x = 352,601,403
  5. Step 5: Solve for x
    x = 352,601,403/23,749
  6. Step 6: Final answer
    x = 14,847

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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.