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Finding the Fourth Proportional to 12,622.28, 17,412.24 and 7,584.64

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Solution

The fourth proportional to 12,622.28, 17,412.24 and 7,584.64 is: 10,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.28 : 17,412.24 = 7,584.64 : x
  2. Step 2: Convert to fraction form
    12,622.28/17,412.24 = 7,584.64/x
  3. Step 3: Cross multiply
    12,622.28x = 17,412.24 × 7,584.64
  4. Step 4: Simplify right side
    12,622.28x = 132,065,535.57
  5. Step 5: Solve for x
    x = 132,065,535.57/12,622.28
  6. Step 6: Final answer
    x = 10,462.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.