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Finding the Fourth Proportional to 24,852.90, 37,271.44 and 8,209.82

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Solution

The fourth proportional to 24,852.90, 37,271.44 and 8,209.82 is: 12,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.90 : 37,271.44 = 8,209.82 : x
  2. Step 2: Convert to fraction form
    24,852.90/37,271.44 = 8,209.82/x
  3. Step 3: Cross multiply
    24,852.90x = 37,271.44 × 8,209.82
  4. Step 4: Simplify right side
    24,852.90x = 305,991,813.54
  5. Step 5: Solve for x
    x = 305,991,813.54/24,852.90
  6. Step 6: Final answer
    x = 12,312.12

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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.