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Finding the Fourth Proportional to 12,026.28, 16,596.14 and 6,649.06

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Solution

The fourth proportional to 12,026.28, 16,596.14 and 6,649.06 is: 9,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.28 : 16,596.14 = 6,649.06 : x
  2. Step 2: Convert to fraction form
    12,026.28/16,596.14 = 6,649.06/x
  3. Step 3: Cross multiply
    12,026.28x = 16,596.14 × 6,649.06
  4. Step 4: Simplify right side
    12,026.28x = 110,348,730.63
  5. Step 5: Solve for x
    x = 110,348,730.63/12,026.28
  6. Step 6: Final answer
    x = 9,175.63

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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.