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Finding the Fourth Proportional to 13,983.38, 19,297.06 and 7,695.75

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Solution

The fourth proportional to 13,983.38, 19,297.06 and 7,695.75 is: 10,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.38 : 19,297.06 = 7,695.75 : x
  2. Step 2: Convert to fraction form
    13,983.38/19,297.06 = 7,695.75/x
  3. Step 3: Cross multiply
    13,983.38x = 19,297.06 × 7,695.75
  4. Step 4: Simplify right side
    13,983.38x = 148,505,349.50
  5. Step 5: Solve for x
    x = 148,505,349.50/13,983.38
  6. Step 6: Final answer
    x = 10,620.13

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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.