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Finding the Fourth Proportional to 13,665.38, 18,869.60 and 9,203.90

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Solution

The fourth proportional to 13,665.38, 18,869.60 and 9,203.90 is: 12,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.38 : 18,869.60 = 9,203.90 : x
  2. Step 2: Convert to fraction form
    13,665.38/18,869.60 = 9,203.90/x
  3. Step 3: Cross multiply
    13,665.38x = 18,869.60 × 9,203.90
  4. Step 4: Simplify right side
    13,665.38x = 173,673,840.10
  5. Step 5: Solve for x
    x = 173,673,840.10/13,665.38
  6. Step 6: Final answer
    x = 12,709.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.