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Finding the Fourth Proportional to 22,563.84, 33,907.05 and 12,041.19

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Solution

The fourth proportional to 22,563.84, 33,907.05 and 12,041.19 is: 18,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.84 : 33,907.05 = 12,041.19 : x
  2. Step 2: Convert to fraction form
    22,563.84/33,907.05 = 12,041.19/x
  3. Step 3: Cross multiply
    22,563.84x = 33,907.05 × 12,041.19
  4. Step 4: Simplify right side
    22,563.84x = 408,281,231.39
  5. Step 5: Solve for x
    x = 408,281,231.39/22,563.84
  6. Step 6: Final answer
    x = 18,094.49

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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.