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Finding the Fourth Proportional to 19,097.85, 28,655.37 and 10,322.49

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Solution

The fourth proportional to 19,097.85, 28,655.37 and 10,322.49 is: 15,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.85 : 28,655.37 = 10,322.49 : x
  2. Step 2: Convert to fraction form
    19,097.85/28,655.37 = 10,322.49/x
  3. Step 3: Cross multiply
    19,097.85x = 28,655.37 × 10,322.49
  4. Step 4: Simplify right side
    19,097.85x = 295,794,770.27
  5. Step 5: Solve for x
    x = 295,794,770.27/19,097.85
  6. Step 6: Final answer
    x = 15,488.38

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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.