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Finding the Fourth Proportional to 14,446.50, 21,669.75 and 3,502.50

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Solution

The fourth proportional to 14,446.50, 21,669.75 and 3,502.50 is: 5,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.50 : 21,669.75 = 3,502.50 : x
  2. Step 2: Convert to fraction form
    14,446.50/21,669.75 = 3,502.50/x
  3. Step 3: Cross multiply
    14,446.50x = 21,669.75 × 3,502.50
  4. Step 4: Simplify right side
    14,446.50x = 75,898,299.38
  5. Step 5: Solve for x
    x = 75,898,299.38/14,446.50
  6. Step 6: Final answer
    x = 5,253.75

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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.