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Finding the Fourth Proportional to 21,185.94, 31,783 and 10,658.26

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Solution

The fourth proportional to 21,185.94, 31,783 and 10,658.26 is: 15,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.94 : 31,783 = 10,658.26 : x
  2. Step 2: Convert to fraction form
    21,185.94/31,783 = 10,658.26/x
  3. Step 3: Cross multiply
    21,185.94x = 31,783 × 10,658.26
  4. Step 4: Simplify right side
    21,185.94x = 338,751,477.58
  5. Step 5: Solve for x
    x = 338,751,477.58/21,185.94
  6. Step 6: Final answer
    x = 15,989.45

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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.