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Finding the Fourth Proportional to 12,838.21, 19,244.11 and 6,256.25

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Solution

The fourth proportional to 12,838.21, 19,244.11 and 6,256.25 is: 9,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.21 : 19,244.11 = 6,256.25 : x
  2. Step 2: Convert to fraction form
    12,838.21/19,244.11 = 6,256.25/x
  3. Step 3: Cross multiply
    12,838.21x = 19,244.11 × 6,256.25
  4. Step 4: Simplify right side
    12,838.21x = 120,395,999.04
  5. Step 5: Solve for x
    x = 120,395,999.04/12,838.21
  6. Step 6: Final answer
    x = 9,377.94

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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.