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Finding the Fourth Proportional to 21,224.42, 31,821.38 and 9,973.42

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Solution

The fourth proportional to 21,224.42, 31,821.38 and 9,973.42 is: 14,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.42 : 31,821.38 = 9,973.42 : x
  2. Step 2: Convert to fraction form
    21,224.42/31,821.38 = 9,973.42/x
  3. Step 3: Cross multiply
    21,224.42x = 31,821.38 × 9,973.42
  4. Step 4: Simplify right side
    21,224.42x = 317,367,987.72
  5. Step 5: Solve for x
    x = 317,367,987.72/21,224.42
  6. Step 6: Final answer
    x = 14,952.96

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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.