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Finding the Fourth Proportional to 19,970.80, 27,559.50 and 11,018.48

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Solution

The fourth proportional to 19,970.80, 27,559.50 and 11,018.48 is: 15,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.80 : 27,559.50 = 11,018.48 : x
  2. Step 2: Convert to fraction form
    19,970.80/27,559.50 = 11,018.48/x
  3. Step 3: Cross multiply
    19,970.80x = 27,559.50 × 11,018.48
  4. Step 4: Simplify right side
    19,970.80x = 303,663,799.56
  5. Step 5: Solve for x
    x = 303,663,799.56/19,970.80
  6. Step 6: Final answer
    x = 15,205.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.