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Finding the Fourth Proportional to 22,075.67, 33,113.54 and 10,222.99

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Solution

The fourth proportional to 22,075.67, 33,113.54 and 10,222.99 is: 15,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075.67 : 33,113.54 = 10,222.99 : x
  2. Step 2: Convert to fraction form
    22,075.67/33,113.54 = 10,222.99/x
  3. Step 3: Cross multiply
    22,075.67x = 33,113.54 × 10,222.99
  4. Step 4: Simplify right side
    22,075.67x = 338,519,331.06
  5. Step 5: Solve for x
    x = 338,519,331.06/22,075.67
  6. Step 6: Final answer
    x = 15,334.50

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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.