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Finding the Fourth Proportional to 13,937.27, 19,233.05 and 7,649.64

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Solution

The fourth proportional to 13,937.27, 19,233.05 and 7,649.64 is: 10,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.27 : 19,233.05 = 7,649.64 : x
  2. Step 2: Convert to fraction form
    13,937.27/19,233.05 = 7,649.64/x
  3. Step 3: Cross multiply
    13,937.27x = 19,233.05 × 7,649.64
  4. Step 4: Simplify right side
    13,937.27x = 147,125,870.35
  5. Step 5: Solve for x
    x = 147,125,870.35/13,937.27
  6. Step 6: Final answer
    x = 10,556.29

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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.