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Finding the Fourth Proportional to 13,894.89, 19,174.38 and 7,607.25

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Solution

The fourth proportional to 13,894.89, 19,174.38 and 7,607.25 is: 10,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.89 : 19,174.38 = 7,607.25 : x
  2. Step 2: Convert to fraction form
    13,894.89/19,174.38 = 7,607.25/x
  3. Step 3: Cross multiply
    13,894.89x = 19,174.38 × 7,607.25
  4. Step 4: Simplify right side
    13,894.89x = 145,864,302.26
  5. Step 5: Solve for x
    x = 145,864,302.26/13,894.89
  6. Step 6: Final answer
    x = 10,497.69

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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.