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Finding the Fourth Proportional to 13,894.02, 19,173.75 and 7,606.38

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Solution

The fourth proportional to 13,894.02, 19,173.75 and 7,606.38 is: 10,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.02 : 19,173.75 = 7,606.38 : x
  2. Step 2: Convert to fraction form
    13,894.02/19,173.75 = 7,606.38/x
  3. Step 3: Cross multiply
    13,894.02x = 19,173.75 × 7,606.38
  4. Step 4: Simplify right side
    13,894.02x = 145,842,828.53
  5. Step 5: Solve for x
    x = 145,842,828.53/13,894.02
  6. Step 6: Final answer
    x = 10,496.81

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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.