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Finding the Fourth Proportional to 12,819.40, 19,208.40 and 7,256.20

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Solution

The fourth proportional to 12,819.40, 19,208.40 and 7,256.20 is: 10,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.40 : 19,208.40 = 7,256.20 : x
  2. Step 2: Convert to fraction form
    12,819.40/19,208.40 = 7,256.20/x
  3. Step 3: Cross multiply
    12,819.40x = 19,208.40 × 7,256.20
  4. Step 4: Simplify right side
    12,819.40x = 139,379,992.08
  5. Step 5: Solve for x
    x = 139,379,992.08/12,819.40
  6. Step 6: Final answer
    x = 10,872.58

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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.