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Finding the Fourth Proportional to 14,538.80, 21,797.24 and 7,511.24

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Solution

The fourth proportional to 14,538.80, 21,797.24 and 7,511.24 is: 11,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.80 : 21,797.24 = 7,511.24 : x
  2. Step 2: Convert to fraction form
    14,538.80/21,797.24 = 7,511.24/x
  3. Step 3: Cross multiply
    14,538.80x = 21,797.24 × 7,511.24
  4. Step 4: Simplify right side
    14,538.80x = 163,724,300.98
  5. Step 5: Solve for x
    x = 163,724,300.98/14,538.80
  6. Step 6: Final answer
    x = 11,261.20

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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.