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Finding the Fourth Proportional to 13,673.38, 18,869.27 and 7,385.75

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Solution

The fourth proportional to 13,673.38, 18,869.27 and 7,385.75 is: 10,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.38 : 18,869.27 = 7,385.75 : x
  2. Step 2: Convert to fraction form
    13,673.38/18,869.27 = 7,385.75/x
  3. Step 3: Cross multiply
    13,673.38x = 18,869.27 × 7,385.75
  4. Step 4: Simplify right side
    13,673.38x = 139,363,710.90
  5. Step 5: Solve for x
    x = 139,363,710.90/13,673.38
  6. Step 6: Final answer
    x = 10,192.34

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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.