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Finding the Fourth Proportional to 14,849, 20,491.62 and 8,226.28

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Solution

The fourth proportional to 14,849, 20,491.62 and 8,226.28 is: 11,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849 : 20,491.62 = 8,226.28 : x
  2. Step 2: Convert to fraction form
    14,849/20,491.62 = 8,226.28/x
  3. Step 3: Cross multiply
    14,849x = 20,491.62 × 8,226.28
  4. Step 4: Simplify right side
    14,849x = 168,569,803.77
  5. Step 5: Solve for x
    x = 168,569,803.77/14,849
  6. Step 6: Final answer
    x = 11,352.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.