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Finding the Fourth Proportional to 13,375.92, 18,461.06 and 7,709.66

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Solution

The fourth proportional to 13,375.92, 18,461.06 and 7,709.66 is: 10,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.92 : 18,461.06 = 7,709.66 : x
  2. Step 2: Convert to fraction form
    13,375.92/18,461.06 = 7,709.66/x
  3. Step 3: Cross multiply
    13,375.92x = 18,461.06 × 7,709.66
  4. Step 4: Simplify right side
    13,375.92x = 142,328,495.84
  5. Step 5: Solve for x
    x = 142,328,495.84/13,375.92
  6. Step 6: Final answer
    x = 10,640.65

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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.