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Finding the Fourth Proportional to 23,793.97, 35,688.92 and 9,749.98

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Solution

The fourth proportional to 23,793.97, 35,688.92 and 9,749.98 is: 14,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.97 : 35,688.92 = 9,749.98 : x
  2. Step 2: Convert to fraction form
    23,793.97/35,688.92 = 9,749.98/x
  3. Step 3: Cross multiply
    23,793.97x = 35,688.92 × 9,749.98
  4. Step 4: Simplify right side
    23,793.97x = 347,966,029.03
  5. Step 5: Solve for x
    x = 347,966,029.03/23,793.97
  6. Step 6: Final answer
    x = 14,624.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.