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Finding the Fourth Proportional to 14,201.90, 19,592.45 and 8,456.14

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Solution

The fourth proportional to 14,201.90, 19,592.45 and 8,456.14 is: 11,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.90 : 19,592.45 = 8,456.14 : x
  2. Step 2: Convert to fraction form
    14,201.90/19,592.45 = 8,456.14/x
  3. Step 3: Cross multiply
    14,201.90x = 19,592.45 × 8,456.14
  4. Step 4: Simplify right side
    14,201.90x = 165,676,500.14
  5. Step 5: Solve for x
    x = 165,676,500.14/14,201.90
  6. Step 6: Final answer
    x = 11,665.80

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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.