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Finding the Fourth Proportional to 14,983.50, 22,476.33 and 5,749.50

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Solution

The fourth proportional to 14,983.50, 22,476.33 and 5,749.50 is: 8,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.50 : 22,476.33 = 5,749.50 : x
  2. Step 2: Convert to fraction form
    14,983.50/22,476.33 = 5,749.50/x
  3. Step 3: Cross multiply
    14,983.50x = 22,476.33 × 5,749.50
  4. Step 4: Simplify right side
    14,983.50x = 129,227,659.34
  5. Step 5: Solve for x
    x = 129,227,659.34/14,983.50
  6. Step 6: Final answer
    x = 8,624.66

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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.