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Finding the Fourth Proportional to 30,855.40, 42,580.24 and 16,707.92

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Solution

The fourth proportional to 30,855.40, 42,580.24 and 16,707.92 is: 23,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.40 : 42,580.24 = 16,707.92 : x
  2. Step 2: Convert to fraction form
    30,855.40/42,580.24 = 16,707.92/x
  3. Step 3: Cross multiply
    30,855.40x = 42,580.24 × 16,707.92
  4. Step 4: Simplify right side
    30,855.40x = 711,427,243.50
  5. Step 5: Solve for x
    x = 711,427,243.50/30,855.40
  6. Step 6: Final answer
    x = 23,056.81

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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.