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Finding the Fourth Proportional to 22,281.49, 33,283.70 and 17,907.49

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Solution

The fourth proportional to 22,281.49, 33,283.70 and 17,907.49 is: 26,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.49 : 33,283.70 = 17,907.49 : x
  2. Step 2: Convert to fraction form
    22,281.49/33,283.70 = 17,907.49/x
  3. Step 3: Cross multiply
    22,281.49x = 33,283.70 × 17,907.49
  4. Step 4: Simplify right side
    22,281.49x = 596,027,524.91
  5. Step 5: Solve for x
    x = 596,027,524.91/22,281.49
  6. Step 6: Final answer
    x = 26,749.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.