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Finding the Fourth Proportional to 22,597, 33,907.32 and 16,408.14

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Solution

The fourth proportional to 22,597, 33,907.32 and 16,408.14 is: 24,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597 : 33,907.32 = 16,408.14 : x
  2. Step 2: Convert to fraction form
    22,597/33,907.32 = 16,408.14/x
  3. Step 3: Cross multiply
    22,597x = 33,907.32 × 16,408.14
  4. Step 4: Simplify right side
    22,597x = 556,356,053.58
  5. Step 5: Solve for x
    x = 556,356,053.58/22,597
  6. Step 6: Final answer
    x = 24,620.79

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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.