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Finding the Fourth Proportional to 19,234.96, 26,544.72 and 10,852

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Solution

The fourth proportional to 19,234.96, 26,544.72 and 10,852 is: 14,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.96 : 26,544.72 = 10,852 : x
  2. Step 2: Convert to fraction form
    19,234.96/26,544.72 = 10,852/x
  3. Step 3: Cross multiply
    19,234.96x = 26,544.72 × 10,852
  4. Step 4: Simplify right side
    19,234.96x = 288,063,301.44
  5. Step 5: Solve for x
    x = 288,063,301.44/19,234.96
  6. Step 6: Final answer
    x = 14,976.03

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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.