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Finding the Fourth Proportional to 11,405.81, 17,108.70 and 8,305.55

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Solution

The fourth proportional to 11,405.81, 17,108.70 and 8,305.55 is: 12,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.81 : 17,108.70 = 8,305.55 : x
  2. Step 2: Convert to fraction form
    11,405.81/17,108.70 = 8,305.55/x
  3. Step 3: Cross multiply
    11,405.81x = 17,108.70 × 8,305.55
  4. Step 4: Simplify right side
    11,405.81x = 142,097,077.74
  5. Step 5: Solve for x
    x = 142,097,077.74/11,405.81
  6. Step 6: Final answer
    x = 12,458.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.