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Finding the Fourth Proportional to 12,907.38, 19,358.74 and 3,419.76

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Solution

The fourth proportional to 12,907.38, 19,358.74 and 3,419.76 is: 5,129.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.38 : 19,358.74 = 3,419.76 : x
  2. Step 2: Convert to fraction form
    12,907.38/19,358.74 = 3,419.76/x
  3. Step 3: Cross multiply
    12,907.38x = 19,358.74 × 3,419.76
  4. Step 4: Simplify right side
    12,907.38x = 66,202,244.70
  5. Step 5: Solve for x
    x = 66,202,244.70/12,907.38
  6. Step 6: Final answer
    x = 5,129.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.