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Finding the Fourth Proportional to 19,494, 29,226.40 and 6,338.52

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Solution

The fourth proportional to 19,494, 29,226.40 and 6,338.52 is: 9,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494 : 29,226.40 = 6,338.52 : x
  2. Step 2: Convert to fraction form
    19,494/29,226.40 = 6,338.52/x
  3. Step 3: Cross multiply
    19,494x = 29,226.40 × 6,338.52
  4. Step 4: Simplify right side
    19,494x = 185,252,120.93
  5. Step 5: Solve for x
    x = 185,252,120.93/19,494
  6. Step 6: Final answer
    x = 9,503.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.