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Finding the Fourth Proportional to 12,015.36, 16,580.21 and 6,977.98

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Solution

The fourth proportional to 12,015.36, 16,580.21 and 6,977.98 is: 9,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.36 : 16,580.21 = 6,977.98 : x
  2. Step 2: Convert to fraction form
    12,015.36/16,580.21 = 6,977.98/x
  3. Step 3: Cross multiply
    12,015.36x = 16,580.21 × 6,977.98
  4. Step 4: Simplify right side
    12,015.36x = 115,696,373.78
  5. Step 5: Solve for x
    x = 115,696,373.78/12,015.36
  6. Step 6: Final answer
    x = 9,629.04

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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.