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Finding the Fourth Proportional to 14,235.46, 21,350.70 and 3,844.78

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Solution

The fourth proportional to 14,235.46, 21,350.70 and 3,844.78 is: 5,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.46 : 21,350.70 = 3,844.78 : x
  2. Step 2: Convert to fraction form
    14,235.46/21,350.70 = 3,844.78/x
  3. Step 3: Cross multiply
    14,235.46x = 21,350.70 × 3,844.78
  4. Step 4: Simplify right side
    14,235.46x = 82,088,744.35
  5. Step 5: Solve for x
    x = 82,088,744.35/14,235.46
  6. Step 6: Final answer
    x = 5,766.50

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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.