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Finding the Fourth Proportional to 24,858.90, 37,280.44 and 8,215.82

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Solution

The fourth proportional to 24,858.90, 37,280.44 and 8,215.82 is: 12,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.90 : 37,280.44 = 8,215.82 : x
  2. Step 2: Convert to fraction form
    24,858.90/37,280.44 = 8,215.82/x
  3. Step 3: Cross multiply
    24,858.90x = 37,280.44 × 8,215.82
  4. Step 4: Simplify right side
    24,858.90x = 306,289,384.56
  5. Step 5: Solve for x
    x = 306,289,384.56/24,858.90
  6. Step 6: Final answer
    x = 12,321.12

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1.5x scale

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.