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Finding the Fourth Proportional to 14,441.82, 19,929.72 and 8,154.24

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Solution

The fourth proportional to 14,441.82, 19,929.72 and 8,154.24 is: 11,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.82 : 19,929.72 = 8,154.24 : x
  2. Step 2: Convert to fraction form
    14,441.82/19,929.72 = 8,154.24/x
  3. Step 3: Cross multiply
    14,441.82x = 19,929.72 × 8,154.24
  4. Step 4: Simplify right side
    14,441.82x = 162,511,720.01
  5. Step 5: Solve for x
    x = 162,511,720.01/14,441.82
  6. Step 6: Final answer
    x = 11,252.86

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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.