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Finding the Fourth Proportional to 24,705.65, 37,059.66 and 8,065.67

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Solution

The fourth proportional to 24,705.65, 37,059.66 and 8,065.67 is: 12,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.65 : 37,059.66 = 8,065.67 : x
  2. Step 2: Convert to fraction form
    24,705.65/37,059.66 = 8,065.67/x
  3. Step 3: Cross multiply
    24,705.65x = 37,059.66 × 8,065.67
  4. Step 4: Simplify right side
    24,705.65x = 298,910,987.87
  5. Step 5: Solve for x
    x = 298,910,987.87/24,705.65
  6. Step 6: Final answer
    x = 12,098.89

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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.