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Finding the Fourth Proportional to 21,084.76, 31,627.14 and 7,042.20

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Solution

The fourth proportional to 21,084.76, 31,627.14 and 7,042.20 is: 10,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.76 : 31,627.14 = 7,042.20 : x
  2. Step 2: Convert to fraction form
    21,084.76/31,627.14 = 7,042.20/x
  3. Step 3: Cross multiply
    21,084.76x = 31,627.14 × 7,042.20
  4. Step 4: Simplify right side
    21,084.76x = 222,724,645.31
  5. Step 5: Solve for x
    x = 222,724,645.31/21,084.76
  6. Step 6: Final answer
    x = 10,563.30

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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.