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Finding the Fourth Proportional to 14,816.50, 22,224.78 and 3,872.50

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Solution

The fourth proportional to 14,816.50, 22,224.78 and 3,872.50 is: 5,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.50 : 22,224.78 = 3,872.50 : x
  2. Step 2: Convert to fraction form
    14,816.50/22,224.78 = 3,872.50/x
  3. Step 3: Cross multiply
    14,816.50x = 22,224.78 × 3,872.50
  4. Step 4: Simplify right side
    14,816.50x = 86,065,460.55
  5. Step 5: Solve for x
    x = 86,065,460.55/14,816.50
  6. Step 6: Final answer
    x = 5,808.76

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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.