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Finding the Fourth Proportional to 24,829.21, 37,235.92 and 8,186.14

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Solution

The fourth proportional to 24,829.21, 37,235.92 and 8,186.14 is: 12,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.21 : 37,235.92 = 8,186.14 : x
  2. Step 2: Convert to fraction form
    24,829.21/37,235.92 = 8,186.14/x
  3. Step 3: Cross multiply
    24,829.21x = 37,235.92 × 8,186.14
  4. Step 4: Simplify right side
    24,829.21x = 304,818,454.15
  5. Step 5: Solve for x
    x = 304,818,454.15/24,829.21
  6. Step 6: Final answer
    x = 12,276.61

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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.