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Finding the Fourth Proportional to 12,123.34, 16,730.90 and 8,083.20

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Solution

The fourth proportional to 12,123.34, 16,730.90 and 8,083.20 is: 11,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.34 : 16,730.90 = 8,083.20 : x
  2. Step 2: Convert to fraction form
    12,123.34/16,730.90 = 8,083.20/x
  3. Step 3: Cross multiply
    12,123.34x = 16,730.90 × 8,083.20
  4. Step 4: Simplify right side
    12,123.34x = 135,239,210.88
  5. Step 5: Solve for x
    x = 135,239,210.88/12,123.34
  6. Step 6: Final answer
    x = 11,155.28

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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.