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Finding the Fourth Proportional to 12,026.84, 16,599.18 and 6,992.66

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Solution

The fourth proportional to 12,026.84, 16,599.18 and 6,992.66 is: 9,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.84 : 16,599.18 = 6,992.66 : x
  2. Step 2: Convert to fraction form
    12,026.84/16,599.18 = 6,992.66/x
  3. Step 3: Cross multiply
    12,026.84x = 16,599.18 × 6,992.66
  4. Step 4: Simplify right side
    12,026.84x = 116,072,422.02
  5. Step 5: Solve for x
    x = 116,072,422.02/12,026.84
  6. Step 6: Final answer
    x = 9,651.12

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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.