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Finding the Fourth Proportional to 13,292.37, 19,781.65 and 12,849.44

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Solution

The fourth proportional to 13,292.37, 19,781.65 and 12,849.44 is: 19,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292.37 : 19,781.65 = 12,849.44 : x
  2. Step 2: Convert to fraction form
    13,292.37/19,781.65 = 12,849.44/x
  3. Step 3: Cross multiply
    13,292.37x = 19,781.65 × 12,849.44
  4. Step 4: Simplify right side
    13,292.37x = 254,183,041.93
  5. Step 5: Solve for x
    x = 254,183,041.93/13,292.37
  6. Step 6: Final answer
    x = 19,122.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.