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Finding the Fourth Proportional to 24,776.76, 37,166.37 and 8,141.59

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Solution

The fourth proportional to 24,776.76, 37,166.37 and 8,141.59 is: 12,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.76 : 37,166.37 = 8,141.59 : x
  2. Step 2: Convert to fraction form
    24,776.76/37,166.37 = 8,141.59/x
  3. Step 3: Cross multiply
    24,776.76x = 37,166.37 × 8,141.59
  4. Step 4: Simplify right side
    24,776.76x = 302,593,362.26
  5. Step 5: Solve for x
    x = 302,593,362.26/24,776.76
  6. Step 6: Final answer
    x = 12,212.79

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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.