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Finding the Fourth Proportional to 12,276.77, 16,940.34 and 6,899.58

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Solution

The fourth proportional to 12,276.77, 16,940.34 and 6,899.58 is: 9,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.77 : 16,940.34 = 6,899.58 : x
  2. Step 2: Convert to fraction form
    12,276.77/16,940.34 = 6,899.58/x
  3. Step 3: Cross multiply
    12,276.77x = 16,940.34 × 6,899.58
  4. Step 4: Simplify right side
    12,276.77x = 116,881,231.06
  5. Step 5: Solve for x
    x = 116,881,231.06/12,276.77
  6. Step 6: Final answer
    x = 9,520.52

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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.