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Finding the Fourth Proportional to 30,794.56, 42,496.80 and 16,647.68

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Solution

The fourth proportional to 30,794.56, 42,496.80 and 16,647.68 is: 22,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.56 : 42,496.80 = 16,647.68 : x
  2. Step 2: Convert to fraction form
    30,794.56/42,496.80 = 16,647.68/x
  3. Step 3: Cross multiply
    30,794.56x = 42,496.80 × 16,647.68
  4. Step 4: Simplify right side
    30,794.56x = 707,473,127.42
  5. Step 5: Solve for x
    x = 707,473,127.42/30,794.56
  6. Step 6: Final answer
    x = 22,973.96

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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.