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Finding the Fourth Proportional to 15,243.39, 22,868.73 and 5,381.84

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Solution

The fourth proportional to 15,243.39, 22,868.73 and 5,381.84 is: 8,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.39 : 22,868.73 = 5,381.84 : x
  2. Step 2: Convert to fraction form
    15,243.39/22,868.73 = 5,381.84/x
  3. Step 3: Cross multiply
    15,243.39x = 22,868.73 × 5,381.84
  4. Step 4: Simplify right side
    15,243.39x = 123,075,903.04
  5. Step 5: Solve for x
    x = 123,075,903.04/15,243.39
  6. Step 6: Final answer
    x = 8,074.05

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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.