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Finding the Fourth Proportional to 19,322, 28,974.56 and 6,837.88

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Solution

The fourth proportional to 19,322, 28,974.56 and 6,837.88 is: 10,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322 : 28,974.56 = 6,837.88 : x
  2. Step 2: Convert to fraction form
    19,322/28,974.56 = 6,837.88/x
  3. Step 3: Cross multiply
    19,322x = 28,974.56 × 6,837.88
  4. Step 4: Simplify right side
    19,322x = 198,124,419.46
  5. Step 5: Solve for x
    x = 198,124,419.46/19,322
  6. Step 6: Final answer
    x = 10,253.83

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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.