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Finding the Fourth Proportional to 11,754.40, 17,634.16 and 10,100.64

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Solution

The fourth proportional to 11,754.40, 17,634.16 and 10,100.64 is: 15,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.40 : 17,634.16 = 10,100.64 : x
  2. Step 2: Convert to fraction form
    11,754.40/17,634.16 = 10,100.64/x
  3. Step 3: Cross multiply
    11,754.40x = 17,634.16 × 10,100.64
  4. Step 4: Simplify right side
    11,754.40x = 178,116,301.86
  5. Step 5: Solve for x
    x = 178,116,301.86/11,754.40
  6. Step 6: Final answer
    x = 15,153.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.