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Finding the Fourth Proportional to 23,502.65, 35,285.26 and 13,649

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Solution

The fourth proportional to 23,502.65, 35,285.26 and 13,649 is: 20,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.65 : 35,285.26 = 13,649 : x
  2. Step 2: Convert to fraction form
    23,502.65/35,285.26 = 13,649/x
  3. Step 3: Cross multiply
    23,502.65x = 35,285.26 × 13,649
  4. Step 4: Simplify right side
    23,502.65x = 481,608,513.74
  5. Step 5: Solve for x
    x = 481,608,513.74/23,502.65
  6. Step 6: Final answer
    x = 20,491.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.