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Finding the Fourth Proportional to 13,910.64, 19,213.54 and 10,127.82

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Solution

The fourth proportional to 13,910.64, 19,213.54 and 10,127.82 is: 13,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.64 : 19,213.54 = 10,127.82 : x
  2. Step 2: Convert to fraction form
    13,910.64/19,213.54 = 10,127.82/x
  3. Step 3: Cross multiply
    13,910.64x = 19,213.54 × 10,127.82
  4. Step 4: Simplify right side
    13,910.64x = 194,591,274.68
  5. Step 5: Solve for x
    x = 194,591,274.68/13,910.64
  6. Step 6: Final answer
    x = 13,988.66

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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.