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Finding the Fourth Proportional to 12,983.12, 17,904.94 and 8,505.24

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Solution

The fourth proportional to 12,983.12, 17,904.94 and 8,505.24 is: 11,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.12 : 17,904.94 = 8,505.24 : x
  2. Step 2: Convert to fraction form
    12,983.12/17,904.94 = 8,505.24/x
  3. Step 3: Cross multiply
    12,983.12x = 17,904.94 × 8,505.24
  4. Step 4: Simplify right side
    12,983.12x = 152,285,811.89
  5. Step 5: Solve for x
    x = 152,285,811.89/12,983.12
  6. Step 6: Final answer
    x = 11,729.52

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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.