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Finding the Fourth Proportional to 20,929.56, 31,394.96 and 9,841.48

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Solution

The fourth proportional to 20,929.56, 31,394.96 and 9,841.48 is: 14,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.56 : 31,394.96 = 9,841.48 : x
  2. Step 2: Convert to fraction form
    20,929.56/31,394.96 = 9,841.48/x
  3. Step 3: Cross multiply
    20,929.56x = 31,394.96 × 9,841.48
  4. Step 4: Simplify right side
    20,929.56x = 308,972,870.94
  5. Step 5: Solve for x
    x = 308,972,870.94/20,929.56
  6. Step 6: Final answer
    x = 14,762.51

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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.