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Finding the Fourth Proportional to 21,047.65, 31,546.87 and 11,685.47

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Solution

The fourth proportional to 21,047.65, 31,546.87 and 11,685.47 is: 17,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.65 : 31,546.87 = 11,685.47 : x
  2. Step 2: Convert to fraction form
    21,047.65/31,546.87 = 11,685.47/x
  3. Step 3: Cross multiply
    21,047.65x = 31,546.87 × 11,685.47
  4. Step 4: Simplify right side
    21,047.65x = 368,639,816.03
  5. Step 5: Solve for x
    x = 368,639,816.03/21,047.65
  6. Step 6: Final answer
    x = 17,514.54

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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.