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Finding the Fourth Proportional to 14,314.58, 19,751.97 and 8,181.84

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Solution

The fourth proportional to 14,314.58, 19,751.97 and 8,181.84 is: 11,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.58 : 19,751.97 = 8,181.84 : x
  2. Step 2: Convert to fraction form
    14,314.58/19,751.97 = 8,181.84/x
  3. Step 3: Cross multiply
    14,314.58x = 19,751.97 × 8,181.84
  4. Step 4: Simplify right side
    14,314.58x = 161,607,417.32
  5. Step 5: Solve for x
    x = 161,607,417.32/14,314.58
  6. Step 6: Final answer
    x = 11,289.71

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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.