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Finding the Fourth Proportional to 24,852.66, 37,271.05 and 8,209.59

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Solution

The fourth proportional to 24,852.66, 37,271.05 and 8,209.59 is: 12,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.66 : 37,271.05 = 8,209.59 : x
  2. Step 2: Convert to fraction form
    24,852.66/37,271.05 = 8,209.59/x
  3. Step 3: Cross multiply
    24,852.66x = 37,271.05 × 8,209.59
  4. Step 4: Simplify right side
    24,852.66x = 305,980,039.37
  5. Step 5: Solve for x
    x = 305,980,039.37/24,852.66
  6. Step 6: Final answer
    x = 12,311.76

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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.