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Finding the Fourth Proportional to 24,968.25, 37,438.20 and 8,319.24

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Solution

The fourth proportional to 24,968.25, 37,438.20 and 8,319.24 is: 12,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,968.25 : 37,438.20 = 8,319.24 : x
  2. Step 2: Convert to fraction form
    24,968.25/37,438.20 = 8,319.24/x
  3. Step 3: Cross multiply
    24,968.25x = 37,438.20 × 8,319.24
  4. Step 4: Simplify right side
    24,968.25x = 311,457,370.97
  5. Step 5: Solve for x
    x = 311,457,370.97/24,968.25
  6. Step 6: Final answer
    x = 12,474.14

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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.