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Finding the Fourth Proportional to 13,744.16, 20,619.72 and 7,502.48

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Solution

The fourth proportional to 13,744.16, 20,619.72 and 7,502.48 is: 11,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.16 : 20,619.72 = 7,502.48 : x
  2. Step 2: Convert to fraction form
    13,744.16/20,619.72 = 7,502.48/x
  3. Step 3: Cross multiply
    13,744.16x = 20,619.72 × 7,502.48
  4. Step 4: Simplify right side
    13,744.16x = 154,699,036.91
  5. Step 5: Solve for x
    x = 154,699,036.91/13,744.16
  6. Step 6: Final answer
    x = 11,255.62

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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.