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Finding the Fourth Proportional to 13,937.64, 19,233.74 and 7,650.02

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Solution

The fourth proportional to 13,937.64, 19,233.74 and 7,650.02 is: 10,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.64 : 19,233.74 = 7,650.02 : x
  2. Step 2: Convert to fraction form
    13,937.64/19,233.74 = 7,650.02/x
  3. Step 3: Cross multiply
    13,937.64x = 19,233.74 × 7,650.02
  4. Step 4: Simplify right side
    13,937.64x = 147,138,361.26
  5. Step 5: Solve for x
    x = 147,138,361.26/13,937.64
  6. Step 6: Final answer
    x = 10,556.91

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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.