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Finding the Fourth Proportional to 14,823, 22,234.50 and 4,434.48

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Solution

The fourth proportional to 14,823, 22,234.50 and 4,434.48 is: 6,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823 : 22,234.50 = 4,434.48 : x
  2. Step 2: Convert to fraction form
    14,823/22,234.50 = 4,434.48/x
  3. Step 3: Cross multiply
    14,823x = 22,234.50 × 4,434.48
  4. Step 4: Simplify right side
    14,823x = 98,598,445.56
  5. Step 5: Solve for x
    x = 98,598,445.56/14,823
  6. Step 6: Final answer
    x = 6,651.72

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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.