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Finding the Fourth Proportional to 14,159.73, 19,537.59 and 8,189.22

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Solution

The fourth proportional to 14,159.73, 19,537.59 and 8,189.22 is: 11,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.73 : 19,537.59 = 8,189.22 : x
  2. Step 2: Convert to fraction form
    14,159.73/19,537.59 = 8,189.22/x
  3. Step 3: Cross multiply
    14,159.73x = 19,537.59 × 8,189.22
  4. Step 4: Simplify right side
    14,159.73x = 159,997,622.78
  5. Step 5: Solve for x
    x = 159,997,622.78/14,159.73
  6. Step 6: Final answer
    x = 11,299.48

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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.