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Finding the Fourth Proportional to 17,654.34, 24,340.86 and 12,930.42

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Solution

The fourth proportional to 17,654.34, 24,340.86 and 12,930.42 is: 17,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.34 : 24,340.86 = 12,930.42 : x
  2. Step 2: Convert to fraction form
    17,654.34/24,340.86 = 12,930.42/x
  3. Step 3: Cross multiply
    17,654.34x = 24,340.86 × 12,930.42
  4. Step 4: Simplify right side
    17,654.34x = 314,737,542.96
  5. Step 5: Solve for x
    x = 314,737,542.96/17,654.34
  6. Step 6: Final answer
    x = 17,827.77

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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.