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Finding the Fourth Proportional to 12,866.64, 19,184.36 and 11,768.28

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Solution

The fourth proportional to 12,866.64, 19,184.36 and 11,768.28 is: 17,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.64 : 19,184.36 = 11,768.28 : x
  2. Step 2: Convert to fraction form
    12,866.64/19,184.36 = 11,768.28/x
  3. Step 3: Cross multiply
    12,866.64x = 19,184.36 × 11,768.28
  4. Step 4: Simplify right side
    12,866.64x = 225,766,920.10
  5. Step 5: Solve for x
    x = 225,766,920.10/12,866.64
  6. Step 6: Final answer
    x = 17,546.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.