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Finding the Fourth Proportional to 22,467, 33,709.20 and 9,316

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Solution

The fourth proportional to 22,467, 33,709.20 and 9,316 is: 13,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,467 : 33,709.20 = 9,316 : x
  2. Step 2: Convert to fraction form
    22,467/33,709.20 = 9,316/x
  3. Step 3: Cross multiply
    22,467x = 33,709.20 × 9,316
  4. Step 4: Simplify right side
    22,467x = 314,034,907.20
  5. Step 5: Solve for x
    x = 314,034,907.20/22,467
  6. Step 6: Final answer
    x = 13,977.61

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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.