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Finding the Fourth Proportional to 17,576.80, 24,255.99 and 9,619.02

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Solution

The fourth proportional to 17,576.80, 24,255.99 and 9,619.02 is: 13,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.80 : 24,255.99 = 9,619.02 : x
  2. Step 2: Convert to fraction form
    17,576.80/24,255.99 = 9,619.02/x
  3. Step 3: Cross multiply
    17,576.80x = 24,255.99 × 9,619.02
  4. Step 4: Simplify right side
    17,576.80x = 233,318,852.93
  5. Step 5: Solve for x
    x = 233,318,852.93/17,576.80
  6. Step 6: Final answer
    x = 13,274.25

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Why These Related Problems?

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