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Finding the Fourth Proportional to 13,634.76, 18,815.86 and 7,584.81

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Solution

The fourth proportional to 13,634.76, 18,815.86 and 7,584.81 is: 10,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.76 : 18,815.86 = 7,584.81 : x
  2. Step 2: Convert to fraction form
    13,634.76/18,815.86 = 7,584.81/x
  3. Step 3: Cross multiply
    13,634.76x = 18,815.86 × 7,584.81
  4. Step 4: Simplify right side
    13,634.76x = 142,714,723.09
  5. Step 5: Solve for x
    x = 142,714,723.09/13,634.76
  6. Step 6: Final answer
    x = 10,466.98

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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.