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Finding the Fourth Proportional to 24,699.74, 37,051.43 and 8,059.30

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Solution

The fourth proportional to 24,699.74, 37,051.43 and 8,059.30 is: 12,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699.74 : 37,051.43 = 8,059.30 : x
  2. Step 2: Convert to fraction form
    24,699.74/37,051.43 = 8,059.30/x
  3. Step 3: Cross multiply
    24,699.74x = 37,051.43 × 8,059.30
  4. Step 4: Simplify right side
    24,699.74x = 298,608,456.87
  5. Step 5: Solve for x
    x = 298,608,456.87/24,699.74
  6. Step 6: Final answer
    x = 12,089.54

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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.