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Finding the Fourth Proportional to 23,798.50, 35,699.54 and 8,003.58

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Solution

The fourth proportional to 23,798.50, 35,699.54 and 8,003.58 is: 12,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.50 : 35,699.54 = 8,003.58 : x
  2. Step 2: Convert to fraction form
    23,798.50/35,699.54 = 8,003.58/x
  3. Step 3: Cross multiply
    23,798.50x = 35,699.54 × 8,003.58
  4. Step 4: Simplify right side
    23,798.50x = 285,724,017.99
  5. Step 5: Solve for x
    x = 285,724,017.99/23,798.50
  6. Step 6: Final answer
    x = 12,005.97

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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.