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Finding the Fourth Proportional to 24,800, 34,222.26 and 14,041.78

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Solution

The fourth proportional to 24,800, 34,222.26 and 14,041.78 is: 19,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,800 : 34,222.26 = 14,041.78 : x
  2. Step 2: Convert to fraction form
    24,800/34,222.26 = 14,041.78/x
  3. Step 3: Cross multiply
    24,800x = 34,222.26 × 14,041.78
  4. Step 4: Simplify right side
    24,800x = 480,541,446.02
  5. Step 5: Solve for x
    x = 480,541,446.02/24,800
  6. Step 6: Final answer
    x = 19,376.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.