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Finding the Fourth Proportional to 24,672.56, 37,012.32 and 8,027.24

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Solution

The fourth proportional to 24,672.56, 37,012.32 and 8,027.24 is: 12,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672.56 : 37,012.32 = 8,027.24 : x
  2. Step 2: Convert to fraction form
    24,672.56/37,012.32 = 8,027.24/x
  3. Step 3: Cross multiply
    24,672.56x = 37,012.32 × 8,027.24
  4. Step 4: Simplify right side
    24,672.56x = 297,106,775.60
  5. Step 5: Solve for x
    x = 297,106,775.60/24,672.56
  6. Step 6: Final answer
    x = 12,041.99

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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.