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Finding the Fourth Proportional to 19,907.34, 27,460.69 and 12,442.38

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Solution

The fourth proportional to 19,907.34, 27,460.69 and 12,442.38 is: 17,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.34 : 27,460.69 = 12,442.38 : x
  2. Step 2: Convert to fraction form
    19,907.34/27,460.69 = 12,442.38/x
  3. Step 3: Cross multiply
    19,907.34x = 27,460.69 × 12,442.38
  4. Step 4: Simplify right side
    19,907.34x = 341,676,340.04
  5. Step 5: Solve for x
    x = 341,676,340.04/19,907.34
  6. Step 6: Final answer
    x = 17,163.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.