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Finding the Fourth Proportional to 20,083.96, 27,706.54 and 13,012.76

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Solution

The fourth proportional to 20,083.96, 27,706.54 and 13,012.76 is: 17,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.96 : 27,706.54 = 13,012.76 : x
  2. Step 2: Convert to fraction form
    20,083.96/27,706.54 = 13,012.76/x
  3. Step 3: Cross multiply
    20,083.96x = 27,706.54 × 13,012.76
  4. Step 4: Simplify right side
    20,083.96x = 360,538,555.45
  5. Step 5: Solve for x
    x = 360,538,555.45/20,083.96
  6. Step 6: Final answer
    x = 17,951.57

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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.