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Finding the Fourth Proportional to 12,762.83, 19,144.28 and 4,442.85

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Solution

The fourth proportional to 12,762.83, 19,144.28 and 4,442.85 is: 6,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.83 : 19,144.28 = 4,442.85 : x
  2. Step 2: Convert to fraction form
    12,762.83/19,144.28 = 4,442.85/x
  3. Step 3: Cross multiply
    12,762.83x = 19,144.28 × 4,442.85
  4. Step 4: Simplify right side
    12,762.83x = 85,055,175.51
  5. Step 5: Solve for x
    x = 85,055,175.51/12,762.83
  6. Step 6: Final answer
    x = 6,664.29

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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.