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Finding the Fourth Proportional to 30,974.76, 42,743.88 and 16,827.24

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Solution

The fourth proportional to 30,974.76, 42,743.88 and 16,827.24 is: 23,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.76 : 42,743.88 = 16,827.24 : x
  2. Step 2: Convert to fraction form
    30,974.76/42,743.88 = 16,827.24/x
  3. Step 3: Cross multiply
    30,974.76x = 42,743.88 × 16,827.24
  4. Step 4: Simplify right side
    30,974.76x = 719,261,527.29
  5. Step 5: Solve for x
    x = 719,261,527.29/30,974.76
  6. Step 6: Final answer
    x = 23,220.89

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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.