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Finding the Fourth Proportional to 30,794.92, 42,496.88 and 16,647.78

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Solution

The fourth proportional to 30,794.92, 42,496.88 and 16,647.78 is: 22,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.92 : 42,496.88 = 16,647.78 : x
  2. Step 2: Convert to fraction form
    30,794.92/42,496.88 = 16,647.78/x
  3. Step 3: Cross multiply
    30,794.92x = 42,496.88 × 16,647.78
  4. Step 4: Simplify right side
    30,794.92x = 707,478,708.93
  5. Step 5: Solve for x
    x = 707,478,708.93/30,794.92
  6. Step 6: Final answer
    x = 22,973.88

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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.