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Finding the Fourth Proportional to 27,814.56, 38,384.56 and 15,238.48

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Solution

The fourth proportional to 27,814.56, 38,384.56 and 15,238.48 is: 21,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.56 : 38,384.56 = 15,238.48 : x
  2. Step 2: Convert to fraction form
    27,814.56/38,384.56 = 15,238.48/x
  3. Step 3: Cross multiply
    27,814.56x = 38,384.56 × 15,238.48
  4. Step 4: Simplify right side
    27,814.56x = 584,922,349.87
  5. Step 5: Solve for x
    x = 584,922,349.87/27,814.56
  6. Step 6: Final answer
    x = 21,029.36

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1.5x scale

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.