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Finding the Fourth Proportional to 12,829.72, 17,703.84 and 7,523.56

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Solution

The fourth proportional to 12,829.72, 17,703.84 and 7,523.56 is: 10,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.72 : 17,703.84 = 7,523.56 : x
  2. Step 2: Convert to fraction form
    12,829.72/17,703.84 = 7,523.56/x
  3. Step 3: Cross multiply
    12,829.72x = 17,703.84 × 7,523.56
  4. Step 4: Simplify right side
    12,829.72x = 133,195,902.47
  5. Step 5: Solve for x
    x = 133,195,902.47/12,829.72
  6. Step 6: Final answer
    x = 10,381.82

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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.