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Finding the Fourth Proportional to 21,224.67, 31,821.76 and 9,973.67

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Solution

The fourth proportional to 21,224.67, 31,821.76 and 9,973.67 is: 14,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.67 : 31,821.76 = 9,973.67 : x
  2. Step 2: Convert to fraction form
    21,224.67/31,821.76 = 9,973.67/x
  3. Step 3: Cross multiply
    21,224.67x = 31,821.76 × 9,973.67
  4. Step 4: Simplify right side
    21,224.67x = 317,379,586.42
  5. Step 5: Solve for x
    x = 317,379,586.42/21,224.67
  6. Step 6: Final answer
    x = 14,953.34

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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.