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Finding the Fourth Proportional to 12,829.52, 17,700.72 and 7,524.56

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Solution

The fourth proportional to 12,829.52, 17,700.72 and 7,524.56 is: 10,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.52 : 17,700.72 = 7,524.56 : x
  2. Step 2: Convert to fraction form
    12,829.52/17,700.72 = 7,524.56/x
  3. Step 3: Cross multiply
    12,829.52x = 17,700.72 × 7,524.56
  4. Step 4: Simplify right side
    12,829.52x = 133,190,129.68
  5. Step 5: Solve for x
    x = 133,190,129.68/12,829.52
  6. Step 6: Final answer
    x = 10,381.54

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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.