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Finding the Fourth Proportional to 30,794.83, 42,496.86 and 16,647.67

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Solution

The fourth proportional to 30,794.83, 42,496.86 and 16,647.67 is: 22,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.83 : 42,496.86 = 16,647.67 : x
  2. Step 2: Convert to fraction form
    30,794.83/42,496.86 = 16,647.67/x
  3. Step 3: Cross multiply
    30,794.83x = 42,496.86 × 16,647.67
  4. Step 4: Simplify right side
    30,794.83x = 707,473,701.32
  5. Step 5: Solve for x
    x = 707,473,701.32/30,794.83
  6. Step 6: Final answer
    x = 22,973.78

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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.