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Finding the Fourth Proportional to 24,828.21, 37,234.42 and 8,185.14

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Solution

The fourth proportional to 24,828.21, 37,234.42 and 8,185.14 is: 12,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.21 : 37,234.42 = 8,185.14 : x
  2. Step 2: Convert to fraction form
    24,828.21/37,234.42 = 8,185.14/x
  3. Step 3: Cross multiply
    24,828.21x = 37,234.42 × 8,185.14
  4. Step 4: Simplify right side
    24,828.21x = 304,768,920.06
  5. Step 5: Solve for x
    x = 304,768,920.06/24,828.21
  6. Step 6: Final answer
    x = 12,275.11

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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.