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Finding the Fourth Proportional to 11,272.88, 16,901.76 and 10,100

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Solution

The fourth proportional to 11,272.88, 16,901.76 and 10,100 is: 15,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.88 : 16,901.76 = 10,100 : x
  2. Step 2: Convert to fraction form
    11,272.88/16,901.76 = 10,100/x
  3. Step 3: Cross multiply
    11,272.88x = 16,901.76 × 10,100
  4. Step 4: Simplify right side
    11,272.88x = 170,707,776.00
  5. Step 5: Solve for x
    x = 170,707,776.00/11,272.88
  6. Step 6: Final answer
    x = 15,143.23

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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.