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Finding the Fourth Proportional to 21,152.25, 31,728.89 and 7,112.46

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Solution

The fourth proportional to 21,152.25, 31,728.89 and 7,112.46 is: 10,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.25 : 31,728.89 = 7,112.46 : x
  2. Step 2: Convert to fraction form
    21,152.25/31,728.89 = 7,112.46/x
  3. Step 3: Cross multiply
    21,152.25x = 31,728.89 × 7,112.46
  4. Step 4: Simplify right side
    21,152.25x = 225,670,425.41
  5. Step 5: Solve for x
    x = 225,670,425.41/21,152.25
  6. Step 6: Final answer
    x = 10,668.86

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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.