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Finding the Fourth Proportional to 14,983.76, 22,467 and 6,224.96

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Solution

The fourth proportional to 14,983.76, 22,467 and 6,224.96 is: 9,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.76 : 22,467 = 6,224.96 : x
  2. Step 2: Convert to fraction form
    14,983.76/22,467 = 6,224.96/x
  3. Step 3: Cross multiply
    14,983.76x = 22,467 × 6,224.96
  4. Step 4: Simplify right side
    14,983.76x = 139,856,176.32
  5. Step 5: Solve for x
    x = 139,856,176.32/14,983.76
  6. Step 6: Final answer
    x = 9,333.85

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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.