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Finding the Fourth Proportional to 20,706.72, 31,060.08 and 16,080

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Solution

The fourth proportional to 20,706.72, 31,060.08 and 16,080 is: 24,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.72 : 31,060.08 = 16,080 : x
  2. Step 2: Convert to fraction form
    20,706.72/31,060.08 = 16,080/x
  3. Step 3: Cross multiply
    20,706.72x = 31,060.08 × 16,080
  4. Step 4: Simplify right side
    20,706.72x = 499,446,086.40
  5. Step 5: Solve for x
    x = 499,446,086.40/20,706.72
  6. Step 6: Final answer
    x = 24,120

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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.