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Finding the Fourth Proportional to 12,846.09, 17,716.80 and 8,366.40

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Solution

The fourth proportional to 12,846.09, 17,716.80 and 8,366.40 is: 11,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.09 : 17,716.80 = 8,366.40 : x
  2. Step 2: Convert to fraction form
    12,846.09/17,716.80 = 8,366.40/x
  3. Step 3: Cross multiply
    12,846.09x = 17,716.80 × 8,366.40
  4. Step 4: Simplify right side
    12,846.09x = 148,225,835.52
  5. Step 5: Solve for x
    x = 148,225,835.52/12,846.09
  6. Step 6: Final answer
    x = 11,538.60

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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.