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Finding the Fourth Proportional to 10,524.46, 15,700.43 and 10,238.44

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Solution

The fourth proportional to 10,524.46, 15,700.43 and 10,238.44 is: 15,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.46 : 15,700.43 = 10,238.44 : x
  2. Step 2: Convert to fraction form
    10,524.46/15,700.43 = 10,238.44/x
  3. Step 3: Cross multiply
    10,524.46x = 15,700.43 × 10,238.44
  4. Step 4: Simplify right side
    10,524.46x = 160,747,859.34
  5. Step 5: Solve for x
    x = 160,747,859.34/10,524.46
  6. Step 6: Final answer
    x = 15,273.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.