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Finding the Fourth Proportional to 21,173.44, 31,726.74 and 7,828.12

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Solution

The fourth proportional to 21,173.44, 31,726.74 and 7,828.12 is: 11,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.44 : 31,726.74 = 7,828.12 : x
  2. Step 2: Convert to fraction form
    21,173.44/31,726.74 = 7,828.12/x
  3. Step 3: Cross multiply
    21,173.44x = 31,726.74 × 7,828.12
  4. Step 4: Simplify right side
    21,173.44x = 248,360,727.93
  5. Step 5: Solve for x
    x = 248,360,727.93/21,173.44
  6. Step 6: Final answer
    x = 11,729.82

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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.