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Finding the Fourth Proportional to 30,794.34, 42,496.02 and 17,365.71

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Solution

The fourth proportional to 30,794.34, 42,496.02 and 17,365.71 is: 23,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.34 : 42,496.02 = 17,365.71 : x
  2. Step 2: Convert to fraction form
    30,794.34/42,496.02 = 17,365.71/x
  3. Step 3: Cross multiply
    30,794.34x = 42,496.02 × 17,365.71
  4. Step 4: Simplify right side
    30,794.34x = 737,973,472.65
  5. Step 5: Solve for x
    x = 737,973,472.65/30,794.34
  6. Step 6: Final answer
    x = 23,964.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.