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Finding the Fourth Proportional to 20,706.51, 31,020.54 and 12,247.71

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Solution

The fourth proportional to 20,706.51, 31,020.54 and 12,247.71 is: 18,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.51 : 31,020.54 = 12,247.71 : x
  2. Step 2: Convert to fraction form
    20,706.51/31,020.54 = 12,247.71/x
  3. Step 3: Cross multiply
    20,706.51x = 31,020.54 × 12,247.71
  4. Step 4: Simplify right side
    20,706.51x = 379,930,577.96
  5. Step 5: Solve for x
    x = 379,930,577.96/20,706.51
  6. Step 6: Final answer
    x = 18,348.36

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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.