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Finding the Fourth Proportional to 14,141.84, 19,514.85 and 8,172.54

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Solution

The fourth proportional to 14,141.84, 19,514.85 and 8,172.54 is: 11,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.84 : 19,514.85 = 8,172.54 : x
  2. Step 2: Convert to fraction form
    14,141.84/19,514.85 = 8,172.54/x
  3. Step 3: Cross multiply
    14,141.84x = 19,514.85 × 8,172.54
  4. Step 4: Simplify right side
    14,141.84x = 159,485,892.22
  5. Step 5: Solve for x
    x = 159,485,892.22/14,141.84
  6. Step 6: Final answer
    x = 11,277.59

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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.