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Finding the Fourth Proportional to 12,710.24, 17,524.88 and 10,938.80

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Solution

The fourth proportional to 12,710.24, 17,524.88 and 10,938.80 is: 15,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.24 : 17,524.88 = 10,938.80 : x
  2. Step 2: Convert to fraction form
    12,710.24/17,524.88 = 10,938.80/x
  3. Step 3: Cross multiply
    12,710.24x = 17,524.88 × 10,938.80
  4. Step 4: Simplify right side
    12,710.24x = 191,701,157.34
  5. Step 5: Solve for x
    x = 191,701,157.34/12,710.24
  6. Step 6: Final answer
    x = 15,082.42

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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.