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Finding the Fourth Proportional to 14,424.80, 21,642.04 and 7,027.84

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Solution

The fourth proportional to 14,424.80, 21,642.04 and 7,027.84 is: 10,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.80 : 21,642.04 = 7,027.84 : x
  2. Step 2: Convert to fraction form
    14,424.80/21,642.04 = 7,027.84/x
  3. Step 3: Cross multiply
    14,424.80x = 21,642.04 × 7,027.84
  4. Step 4: Simplify right side
    14,424.80x = 152,096,794.39
  5. Step 5: Solve for x
    x = 152,096,794.39/14,424.80
  6. Step 6: Final answer
    x = 10,544.12

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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.