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Finding the Fourth Proportional to 24,679.84, 37,023.60 and 8,260

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Solution

The fourth proportional to 24,679.84, 37,023.60 and 8,260 is: 12,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,679.84 : 37,023.60 = 8,260 : x
  2. Step 2: Convert to fraction form
    24,679.84/37,023.60 = 8,260/x
  3. Step 3: Cross multiply
    24,679.84x = 37,023.60 × 8,260
  4. Step 4: Simplify right side
    24,679.84x = 305,814,936
  5. Step 5: Solve for x
    x = 305,814,936/24,679.84
  6. Step 6: Final answer
    x = 12,391.29

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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.