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Finding the Fourth Proportional to 12,123.81, 16,731.06 and 6,746.67

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Solution

The fourth proportional to 12,123.81, 16,731.06 and 6,746.67 is: 9,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.81 : 16,731.06 = 6,746.67 : x
  2. Step 2: Convert to fraction form
    12,123.81/16,731.06 = 6,746.67/x
  3. Step 3: Cross multiply
    12,123.81x = 16,731.06 × 6,746.67
  4. Step 4: Simplify right side
    12,123.81x = 112,878,940.57
  5. Step 5: Solve for x
    x = 112,878,940.57/12,123.81
  6. Step 6: Final answer
    x = 9,310.52

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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.