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Finding the Fourth Proportional to 13,773.38, 19,007.33 and 7,485.75

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Solution

The fourth proportional to 13,773.38, 19,007.33 and 7,485.75 is: 10,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.38 : 19,007.33 = 7,485.75 : x
  2. Step 2: Convert to fraction form
    13,773.38/19,007.33 = 7,485.75/x
  3. Step 3: Cross multiply
    13,773.38x = 19,007.33 × 7,485.75
  4. Step 4: Simplify right side
    13,773.38x = 142,284,083.12
  5. Step 5: Solve for x
    x = 142,284,083.12/13,773.38
  6. Step 6: Final answer
    x = 10,330.37

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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.