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Finding the Fourth Proportional to 10,524.96, 15,701.17 and 10,238.94

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Solution

The fourth proportional to 10,524.96, 15,701.17 and 10,238.94 is: 15,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.96 : 15,701.17 = 10,238.94 : x
  2. Step 2: Convert to fraction form
    10,524.96/15,701.17 = 10,238.94/x
  3. Step 3: Cross multiply
    10,524.96x = 15,701.17 × 10,238.94
  4. Step 4: Simplify right side
    10,524.96x = 160,763,337.56
  5. Step 5: Solve for x
    x = 160,763,337.56/10,524.96
  6. Step 6: Final answer
    x = 15,274.48

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Why These Related Problems?

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