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Finding the Fourth Proportional to 20,037.51, 27,648.65 and 11,539.99

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Solution

The fourth proportional to 20,037.51, 27,648.65 and 11,539.99 is: 15,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,037.51 : 27,648.65 = 11,539.99 : x
  2. Step 2: Convert to fraction form
    20,037.51/27,648.65 = 11,539.99/x
  3. Step 3: Cross multiply
    20,037.51x = 27,648.65 × 11,539.99
  4. Step 4: Simplify right side
    20,037.51x = 319,065,144.51
  5. Step 5: Solve for x
    x = 319,065,144.51/20,037.51
  6. Step 6: Final answer
    x = 15,923.39

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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.