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Finding the Fourth Proportional to 20,471.14, 30,706.60 and 17,689.35

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Solution

The fourth proportional to 20,471.14, 30,706.60 and 17,689.35 is: 26,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.14 : 30,706.60 = 17,689.35 : x
  2. Step 2: Convert to fraction form
    20,471.14/30,706.60 = 17,689.35/x
  3. Step 3: Cross multiply
    20,471.14x = 30,706.60 × 17,689.35
  4. Step 4: Simplify right side
    20,471.14x = 543,179,794.71
  5. Step 5: Solve for x
    x = 543,179,794.71/20,471.14
  6. Step 6: Final answer
    x = 26,533.93

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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.