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Finding the Fourth Proportional to 12,874.58, 19,312.21 and 4,109.49

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Solution

The fourth proportional to 12,874.58, 19,312.21 and 4,109.49 is: 6,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.58 : 19,312.21 = 4,109.49 : x
  2. Step 2: Convert to fraction form
    12,874.58/19,312.21 = 4,109.49/x
  3. Step 3: Cross multiply
    12,874.58x = 19,312.21 × 4,109.49
  4. Step 4: Simplify right side
    12,874.58x = 79,363,333.87
  5. Step 5: Solve for x
    x = 79,363,333.87/12,874.58
  6. Step 6: Final answer
    x = 6,164.34

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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.