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Finding the Fourth Proportional to 15,605.94, 23,397.98 and 5,743.94

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Solution

The fourth proportional to 15,605.94, 23,397.98 and 5,743.94 is: 8,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.94 : 23,397.98 = 5,743.94 : x
  2. Step 2: Convert to fraction form
    15,605.94/23,397.98 = 5,743.94/x
  3. Step 3: Cross multiply
    15,605.94x = 23,397.98 × 5,743.94
  4. Step 4: Simplify right side
    15,605.94x = 134,396,593.24
  5. Step 5: Solve for x
    x = 134,396,593.24/15,605.94
  6. Step 6: Final answer
    x = 8,611.89

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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.