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Finding the Fourth Proportional to 13,894.48, 19,174 and 7,606.72

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Solution

The fourth proportional to 13,894.48, 19,174 and 7,606.72 is: 10,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.48 : 19,174 = 7,606.72 : x
  2. Step 2: Convert to fraction form
    13,894.48/19,174 = 7,606.72/x
  3. Step 3: Cross multiply
    13,894.48x = 19,174 × 7,606.72
  4. Step 4: Simplify right side
    13,894.48x = 145,851,249.28
  5. Step 5: Solve for x
    x = 145,851,249.28/13,894.48
  6. Step 6: Final answer
    x = 10,497.06

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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.