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Finding the Fourth Proportional to 13,937.52, 19,233.76 and 7,969.30

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Solution

The fourth proportional to 13,937.52, 19,233.76 and 7,969.30 is: 10,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.52 : 19,233.76 = 7,969.30 : x
  2. Step 2: Convert to fraction form
    13,937.52/19,233.76 = 7,969.30/x
  3. Step 3: Cross multiply
    13,937.52x = 19,233.76 × 7,969.30
  4. Step 4: Simplify right side
    13,937.52x = 153,279,603.57
  5. Step 5: Solve for x
    x = 153,279,603.57/13,937.52
  6. Step 6: Final answer
    x = 10,997.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.