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Finding the Fourth Proportional to 24,758.69, 37,134.39 and 8,120.48

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Solution

The fourth proportional to 24,758.69, 37,134.39 and 8,120.48 is: 12,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.69 : 37,134.39 = 8,120.48 : x
  2. Step 2: Convert to fraction form
    24,758.69/37,134.39 = 8,120.48/x
  3. Step 3: Cross multiply
    24,758.69x = 37,134.39 × 8,120.48
  4. Step 4: Simplify right side
    24,758.69x = 301,549,071.31
  5. Step 5: Solve for x
    x = 301,549,071.31/24,758.69
  6. Step 6: Final answer
    x = 12,179.52

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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.