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Finding the Fourth Proportional to 23,737.94, 35,610.86 and 9,705.50

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Solution

The fourth proportional to 23,737.94, 35,610.86 and 9,705.50 is: 14,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.94 : 35,610.86 = 9,705.50 : x
  2. Step 2: Convert to fraction form
    23,737.94/35,610.86 = 9,705.50/x
  3. Step 3: Cross multiply
    23,737.94x = 35,610.86 × 9,705.50
  4. Step 4: Simplify right side
    23,737.94x = 345,621,047.94
  5. Step 5: Solve for x
    x = 345,621,047.94/23,737.94
  6. Step 6: Final answer
    x = 14,559.86

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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.