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Finding the Fourth Proportional to 24,967.99, 37,443.75 and 8,323.44

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Solution

The fourth proportional to 24,967.99, 37,443.75 and 8,323.44 is: 12,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,967.99 : 37,443.75 = 8,323.44 : x
  2. Step 2: Convert to fraction form
    24,967.99/37,443.75 = 8,323.44/x
  3. Step 3: Cross multiply
    24,967.99x = 37,443.75 × 8,323.44
  4. Step 4: Simplify right side
    24,967.99x = 311,660,806.50
  5. Step 5: Solve for x
    x = 311,660,806.50/24,967.99
  6. Step 6: Final answer
    x = 12,482.41

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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.