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Finding the Fourth Proportional to 21,228.84, 31,821.12 and 7,183.98

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Solution

The fourth proportional to 21,228.84, 31,821.12 and 7,183.98 is: 10,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.84 : 31,821.12 = 7,183.98 : x
  2. Step 2: Convert to fraction form
    21,228.84/31,821.12 = 7,183.98/x
  3. Step 3: Cross multiply
    21,228.84x = 31,821.12 × 7,183.98
  4. Step 4: Simplify right side
    21,228.84x = 228,602,289.66
  5. Step 5: Solve for x
    x = 228,602,289.66/21,228.84
  6. Step 6: Final answer
    x = 10,768.48

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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.