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Finding the Fourth Proportional to 14,451.56, 21,633.18 and 9,511.40

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Solution

The fourth proportional to 14,451.56, 21,633.18 and 9,511.40 is: 14,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.56 : 21,633.18 = 9,511.40 : x
  2. Step 2: Convert to fraction form
    14,451.56/21,633.18 = 9,511.40/x
  3. Step 3: Cross multiply
    14,451.56x = 21,633.18 × 9,511.40
  4. Step 4: Simplify right side
    14,451.56x = 205,761,828.25
  5. Step 5: Solve for x
    x = 205,761,828.25/14,451.56
  6. Step 6: Final answer
    x = 14,238.04

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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.