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Finding the Fourth Proportional to 14,762.78, 22,144.26 and 5,398.94

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Solution

The fourth proportional to 14,762.78, 22,144.26 and 5,398.94 is: 8,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.78 : 22,144.26 = 5,398.94 : x
  2. Step 2: Convert to fraction form
    14,762.78/22,144.26 = 5,398.94/x
  3. Step 3: Cross multiply
    14,762.78x = 22,144.26 × 5,398.94
  4. Step 4: Simplify right side
    14,762.78x = 119,555,531.08
  5. Step 5: Solve for x
    x = 119,555,531.08/14,762.78
  6. Step 6: Final answer
    x = 8,098.44

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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.