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Finding the Fourth Proportional to 12,793.47, 17,655.03 and 7,416.96

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Solution

The fourth proportional to 12,793.47, 17,655.03 and 7,416.96 is: 10,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.47 : 17,655.03 = 7,416.96 : x
  2. Step 2: Convert to fraction form
    12,793.47/17,655.03 = 7,416.96/x
  3. Step 3: Cross multiply
    12,793.47x = 17,655.03 × 7,416.96
  4. Step 4: Simplify right side
    12,793.47x = 130,946,651.31
  5. Step 5: Solve for x
    x = 130,946,651.31/12,793.47
  6. Step 6: Final answer
    x = 10,235.43

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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.