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Finding the Fourth Proportional to 30,211.92, 41,693.70 and 16,783.08

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Solution

The fourth proportional to 30,211.92, 41,693.70 and 16,783.08 is: 23,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.92 : 41,693.70 = 16,783.08 : x
  2. Step 2: Convert to fraction form
    30,211.92/41,693.70 = 16,783.08/x
  3. Step 3: Cross multiply
    30,211.92x = 41,693.70 × 16,783.08
  4. Step 4: Simplify right side
    30,211.92x = 699,748,702.60
  5. Step 5: Solve for x
    x = 699,748,702.60/30,211.92
  6. Step 6: Final answer
    x = 23,161.35

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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.