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Finding the Fourth Proportional to 13,937.63, 19,233.87 and 7,649.87

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Solution

The fourth proportional to 13,937.63, 19,233.87 and 7,649.87 is: 10,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.63 : 19,233.87 = 7,649.87 : x
  2. Step 2: Convert to fraction form
    13,937.63/19,233.87 = 7,649.87/x
  3. Step 3: Cross multiply
    13,937.63x = 19,233.87 × 7,649.87
  4. Step 4: Simplify right side
    13,937.63x = 147,136,605.10
  5. Step 5: Solve for x
    x = 147,136,605.10/13,937.63
  6. Step 6: Final answer
    x = 10,556.79

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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.