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Finding the Fourth Proportional to 12,123.67, 16,730.12 and 6,746.39

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Solution

The fourth proportional to 12,123.67, 16,730.12 and 6,746.39 is: 9,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.67 : 16,730.12 = 6,746.39 : x
  2. Step 2: Convert to fraction form
    12,123.67/16,730.12 = 6,746.39/x
  3. Step 3: Cross multiply
    12,123.67x = 16,730.12 × 6,746.39
  4. Step 4: Simplify right side
    12,123.67x = 112,867,847.48
  5. Step 5: Solve for x
    x = 112,867,847.48/12,123.67
  6. Step 6: Final answer
    x = 9,309.71

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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.