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Finding the Fourth Proportional to 21,059.39, 31,546.67 and 9,976.77

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Solution

The fourth proportional to 21,059.39, 31,546.67 and 9,976.77 is: 14,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,059.39 : 31,546.67 = 9,976.77 : x
  2. Step 2: Convert to fraction form
    21,059.39/31,546.67 = 9,976.77/x
  3. Step 3: Cross multiply
    21,059.39x = 31,546.67 × 9,976.77
  4. Step 4: Simplify right side
    21,059.39x = 314,733,820.97
  5. Step 5: Solve for x
    x = 314,733,820.97/21,059.39
  6. Step 6: Final answer
    x = 14,945.06

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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.