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Finding the Fourth Proportional to 12,576.42, 17,356.98 and 7,200.84

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Solution

The fourth proportional to 12,576.42, 17,356.98 and 7,200.84 is: 9,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.42 : 17,356.98 = 7,200.84 : x
  2. Step 2: Convert to fraction form
    12,576.42/17,356.98 = 7,200.84/x
  3. Step 3: Cross multiply
    12,576.42x = 17,356.98 × 7,200.84
  4. Step 4: Simplify right side
    12,576.42x = 124,984,835.86
  5. Step 5: Solve for x
    x = 124,984,835.86/12,576.42
  6. Step 6: Final answer
    x = 9,938.03

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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.