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Finding the Fourth Proportional to 20,434.16, 30,659.34 and 7,957.94

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Solution

The fourth proportional to 20,434.16, 30,659.34 and 7,957.94 is: 11,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.16 : 30,659.34 = 7,957.94 : x
  2. Step 2: Convert to fraction form
    20,434.16/30,659.34 = 7,957.94/x
  3. Step 3: Cross multiply
    20,434.16x = 30,659.34 × 7,957.94
  4. Step 4: Simplify right side
    20,434.16x = 243,985,034.86
  5. Step 5: Solve for x
    x = 243,985,034.86/20,434.16
  6. Step 6: Final answer
    x = 11,940.06

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