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Finding the Fourth Proportional to 14,446.30, 21,629.51 and 7,411.15

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Solution

The fourth proportional to 14,446.30, 21,629.51 and 7,411.15 is: 11,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.30 : 21,629.51 = 7,411.15 : x
  2. Step 2: Convert to fraction form
    14,446.30/21,629.51 = 7,411.15/x
  3. Step 3: Cross multiply
    14,446.30x = 21,629.51 × 7,411.15
  4. Step 4: Simplify right side
    14,446.30x = 160,299,418.30
  5. Step 5: Solve for x
    x = 160,299,418.30/14,446.30
  6. Step 6: Final answer
    x = 11,096.23

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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.