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Finding the Fourth Proportional to 14,380.52, 19,842.17 and 8,411.00

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Solution

The fourth proportional to 14,380.52, 19,842.17 and 8,411.00 is: 11,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.52 : 19,842.17 = 8,411.00 : x
  2. Step 2: Convert to fraction form
    14,380.52/19,842.17 = 8,411.00/x
  3. Step 3: Cross multiply
    14,380.52x = 19,842.17 × 8,411.00
  4. Step 4: Simplify right side
    14,380.52x = 166,892,350.60
  5. Step 5: Solve for x
    x = 166,892,350.60/14,380.52
  6. Step 6: Final answer
    x = 11,605.45

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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.