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Finding the Fourth Proportional to 12,993.83, 19,464.43 and 10,207.45

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Solution

The fourth proportional to 12,993.83, 19,464.43 and 10,207.45 is: 15,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.83 : 19,464.43 = 10,207.45 : x
  2. Step 2: Convert to fraction form
    12,993.83/19,464.43 = 10,207.45/x
  3. Step 3: Cross multiply
    12,993.83x = 19,464.43 × 10,207.45
  4. Step 4: Simplify right side
    12,993.83x = 198,682,144.97
  5. Step 5: Solve for x
    x = 198,682,144.97/12,993.83
  6. Step 6: Final answer
    x = 15,290.50

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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.