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Finding the Fourth Proportional to 12,126.94, 16,736.14 and 6,822.15

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Solution

The fourth proportional to 12,126.94, 16,736.14 and 6,822.15 is: 9,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.94 : 16,736.14 = 6,822.15 : x
  2. Step 2: Convert to fraction form
    12,126.94/16,736.14 = 6,822.15/x
  3. Step 3: Cross multiply
    12,126.94x = 16,736.14 × 6,822.15
  4. Step 4: Simplify right side
    12,126.94x = 114,176,364.89
  5. Step 5: Solve for x
    x = 114,176,364.89/12,126.94
  6. Step 6: Final answer
    x = 9,415.10

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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.