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Finding the Fourth Proportional to 21,007.80, 31,511.70 and 5,425.43

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Solution

The fourth proportional to 21,007.80, 31,511.70 and 5,425.43 is: 8,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.80 : 31,511.70 = 5,425.43 : x
  2. Step 2: Convert to fraction form
    21,007.80/31,511.70 = 5,425.43/x
  3. Step 3: Cross multiply
    21,007.80x = 31,511.70 × 5,425.43
  4. Step 4: Simplify right side
    21,007.80x = 170,964,364.97
  5. Step 5: Solve for x
    x = 170,964,364.97/21,007.80
  6. Step 6: Final answer
    x = 8,138.14

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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.