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Finding the Fourth Proportional to 15,019, 22,528.54 and 4,075

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Solution

The fourth proportional to 15,019, 22,528.54 and 4,075 is: 6,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019 : 22,528.54 = 4,075 : x
  2. Step 2: Convert to fraction form
    15,019/22,528.54 = 4,075/x
  3. Step 3: Cross multiply
    15,019x = 22,528.54 × 4,075
  4. Step 4: Simplify right side
    15,019x = 91,803,800.50
  5. Step 5: Solve for x
    x = 91,803,800.50/15,019
  6. Step 6: Final answer
    x = 6,112.51

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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.