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Finding the Fourth Proportional to 15,394, 23,092.08 and 6,160

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Solution

The fourth proportional to 15,394, 23,092.08 and 6,160 is: 9,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,394 : 23,092.08 = 6,160 : x
  2. Step 2: Convert to fraction form
    15,394/23,092.08 = 6,160/x
  3. Step 3: Cross multiply
    15,394x = 23,092.08 × 6,160
  4. Step 4: Simplify right side
    15,394x = 142,247,212.80
  5. Step 5: Solve for x
    x = 142,247,212.80/15,394
  6. Step 6: Final answer
    x = 9,240.43

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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.