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Finding the Fourth Proportional to 12,246, 16,899.44 and 6,656.96

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Solution

The fourth proportional to 12,246, 16,899.44 and 6,656.96 is: 9,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246 : 16,899.44 = 6,656.96 : x
  2. Step 2: Convert to fraction form
    12,246/16,899.44 = 6,656.96/x
  3. Step 3: Cross multiply
    12,246x = 16,899.44 × 6,656.96
  4. Step 4: Simplify right side
    12,246x = 112,498,896.10
  5. Step 5: Solve for x
    x = 112,498,896.10/12,246
  6. Step 6: Final answer
    x = 9,186.58

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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.