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Finding the Fourth Proportional to 12,123.84, 16,730.76 and 6,818.70

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Solution

The fourth proportional to 12,123.84, 16,730.76 and 6,818.70 is: 9,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.84 : 16,730.76 = 6,818.70 : x
  2. Step 2: Convert to fraction form
    12,123.84/16,730.76 = 6,818.70/x
  3. Step 3: Cross multiply
    12,123.84x = 16,730.76 × 6,818.70
  4. Step 4: Simplify right side
    12,123.84x = 114,082,033.21
  5. Step 5: Solve for x
    x = 114,082,033.21/12,123.84
  6. Step 6: Final answer
    x = 9,409.73

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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.