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Finding the Fourth Proportional to 24,871.30, 37,298.96 and 8,228.22

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Solution

The fourth proportional to 24,871.30, 37,298.96 and 8,228.22 is: 12,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.30 : 37,298.96 = 8,228.22 : x
  2. Step 2: Convert to fraction form
    24,871.30/37,298.96 = 8,228.22/x
  3. Step 3: Cross multiply
    24,871.30x = 37,298.96 × 8,228.22
  4. Step 4: Simplify right side
    24,871.30x = 306,904,048.65
  5. Step 5: Solve for x
    x = 306,904,048.65/24,871.30
  6. Step 6: Final answer
    x = 12,339.69

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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.