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Finding the Fourth Proportional to 12,178.14, 16,805.76 and 6,800.28

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Solution

The fourth proportional to 12,178.14, 16,805.76 and 6,800.28 is: 9,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.14 : 16,805.76 = 6,800.28 : x
  2. Step 2: Convert to fraction form
    12,178.14/16,805.76 = 6,800.28/x
  3. Step 3: Cross multiply
    12,178.14x = 16,805.76 × 6,800.28
  4. Step 4: Simplify right side
    12,178.14x = 114,283,873.61
  5. Step 5: Solve for x
    x = 114,283,873.61/12,178.14
  6. Step 6: Final answer
    x = 9,384.35

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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.