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Finding the Fourth Proportional to 14,080.69, 19,430.03 and 8,414.31

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Solution

The fourth proportional to 14,080.69, 19,430.03 and 8,414.31 is: 11,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.69 : 19,430.03 = 8,414.31 : x
  2. Step 2: Convert to fraction form
    14,080.69/19,430.03 = 8,414.31/x
  3. Step 3: Cross multiply
    14,080.69x = 19,430.03 × 8,414.31
  4. Step 4: Simplify right side
    14,080.69x = 163,490,295.73
  5. Step 5: Solve for x
    x = 163,490,295.73/14,080.69
  6. Step 6: Final answer
    x = 11,610.96

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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.