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Finding the Fourth Proportional to 15,199.94, 20,976.26 and 9,534.92

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Solution

The fourth proportional to 15,199.94, 20,976.26 and 9,534.92 is: 13,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.94 : 20,976.26 = 9,534.92 : x
  2. Step 2: Convert to fraction form
    15,199.94/20,976.26 = 9,534.92/x
  3. Step 3: Cross multiply
    15,199.94x = 20,976.26 × 9,534.92
  4. Step 4: Simplify right side
    15,199.94x = 200,006,808.44
  5. Step 5: Solve for x
    x = 200,006,808.44/15,199.94
  6. Step 6: Final answer
    x = 13,158.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.