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Finding the Fourth Proportional to 21,315.52, 31,973.25 and 6,524.26

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Solution

The fourth proportional to 21,315.52, 31,973.25 and 6,524.26 is: 9,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,315.52 : 31,973.25 = 6,524.26 : x
  2. Step 2: Convert to fraction form
    21,315.52/31,973.25 = 6,524.26/x
  3. Step 3: Cross multiply
    21,315.52x = 31,973.25 × 6,524.26
  4. Step 4: Simplify right side
    21,315.52x = 208,601,796.05
  5. Step 5: Solve for x
    x = 208,601,796.05/21,315.52
  6. Step 6: Final answer
    x = 9,786.38

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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.