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Finding the Fourth Proportional to 13,894.74, 19,174.74 and 7,607.11

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Solution

The fourth proportional to 13,894.74, 19,174.74 and 7,607.11 is: 10,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.74 : 19,174.74 = 7,607.11 : x
  2. Step 2: Convert to fraction form
    13,894.74/19,174.74 = 7,607.11/x
  3. Step 3: Cross multiply
    13,894.74x = 19,174.74 × 7,607.11
  4. Step 4: Simplify right side
    13,894.74x = 145,864,351.84
  5. Step 5: Solve for x
    x = 145,864,351.84/13,894.74
  6. Step 6: Final answer
    x = 10,497.81

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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.