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Finding the Fourth Proportional to 20,703.40, 31,064.70 and 10,853.80

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Solution

The fourth proportional to 20,703.40, 31,064.70 and 10,853.80 is: 16,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.40 : 31,064.70 = 10,853.80 : x
  2. Step 2: Convert to fraction form
    20,703.40/31,064.70 = 10,853.80/x
  3. Step 3: Cross multiply
    20,703.40x = 31,064.70 × 10,853.80
  4. Step 4: Simplify right side
    20,703.40x = 337,170,040.86
  5. Step 5: Solve for x
    x = 337,170,040.86/20,703.40
  6. Step 6: Final answer
    x = 16,285.73

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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.