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Finding the Fourth Proportional to 24,298.67, 36,453.54 and 7,658.62

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Solution

The fourth proportional to 24,298.67, 36,453.54 and 7,658.62 is: 11,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.67 : 36,453.54 = 7,658.62 : x
  2. Step 2: Convert to fraction form
    24,298.67/36,453.54 = 7,658.62/x
  3. Step 3: Cross multiply
    24,298.67x = 36,453.54 × 7,658.62
  4. Step 4: Simplify right side
    24,298.67x = 279,183,810.51
  5. Step 5: Solve for x
    x = 279,183,810.51/24,298.67
  6. Step 6: Final answer
    x = 11,489.67

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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.