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Finding the Fourth Proportional to 13,015.72, 19,480.38 and 10,400.68

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Solution

The fourth proportional to 13,015.72, 19,480.38 and 10,400.68 is: 15,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.72 : 19,480.38 = 10,400.68 : x
  2. Step 2: Convert to fraction form
    13,015.72/19,480.38 = 10,400.68/x
  3. Step 3: Cross multiply
    13,015.72x = 19,480.38 × 10,400.68
  4. Step 4: Simplify right side
    13,015.72x = 202,609,198.66
  5. Step 5: Solve for x
    x = 202,609,198.66/13,015.72
  6. Step 6: Final answer
    x = 15,566.50

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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.