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Finding the Fourth Proportional to 39,096, 58,654.80 and 11,394

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Solution

The fourth proportional to 39,096, 58,654.80 and 11,394 is: 17,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,096 : 58,654.80 = 11,394 : x
  2. Step 2: Convert to fraction form
    39,096/58,654.80 = 11,394/x
  3. Step 3: Cross multiply
    39,096x = 58,654.80 × 11,394
  4. Step 4: Simplify right side
    39,096x = 668,312,791.20
  5. Step 5: Solve for x
    x = 668,312,791.20/39,096
  6. Step 6: Final answer
    x = 17,094.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.