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Finding the Fourth Proportional to 14,554.80, 21,825 and 6,758.64

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Solution

The fourth proportional to 14,554.80, 21,825 and 6,758.64 is: 10,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.80 : 21,825 = 6,758.64 : x
  2. Step 2: Convert to fraction form
    14,554.80/21,825 = 6,758.64/x
  3. Step 3: Cross multiply
    14,554.80x = 21,825 × 6,758.64
  4. Step 4: Simplify right side
    14,554.80x = 147,507,318
  5. Step 5: Solve for x
    x = 147,507,318/14,554.80
  6. Step 6: Final answer
    x = 10,134.62

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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.