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Finding the Fourth Proportional to 12,814.50, 19,230.30 and 4,494.51

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Solution

The fourth proportional to 12,814.50, 19,230.30 and 4,494.51 is: 6,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.50 : 19,230.30 = 4,494.51 : x
  2. Step 2: Convert to fraction form
    12,814.50/19,230.30 = 4,494.51/x
  3. Step 3: Cross multiply
    12,814.50x = 19,230.30 × 4,494.51
  4. Step 4: Simplify right side
    12,814.50x = 86,430,775.65
  5. Step 5: Solve for x
    x = 86,430,775.65/12,814.50
  6. Step 6: Final answer
    x = 6,744.76

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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.