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Finding the Fourth Proportional to 11,933.68, 17,780.60 and 11,263

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Solution

The fourth proportional to 11,933.68, 17,780.60 and 11,263 is: 16,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.68 : 17,780.60 = 11,263 : x
  2. Step 2: Convert to fraction form
    11,933.68/17,780.60 = 11,263/x
  3. Step 3: Cross multiply
    11,933.68x = 17,780.60 × 11,263
  4. Step 4: Simplify right side
    11,933.68x = 200,262,897.80
  5. Step 5: Solve for x
    x = 200,262,897.80/11,933.68
  6. Step 6: Final answer
    x = 16,781.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.