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Finding the Fourth Proportional to 28,716.81, 43,075.22 and 13,123.50

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Solution

The fourth proportional to 28,716.81, 43,075.22 and 13,123.50 is: 19,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,716.81 : 43,075.22 = 13,123.50 : x
  2. Step 2: Convert to fraction form
    28,716.81/43,075.22 = 13,123.50/x
  3. Step 3: Cross multiply
    28,716.81x = 43,075.22 × 13,123.50
  4. Step 4: Simplify right side
    28,716.81x = 565,297,584.05
  5. Step 5: Solve for x
    x = 565,297,584.05/28,716.81
  6. Step 6: Final answer
    x = 19,685.25

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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.