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Finding the Fourth Proportional to 27,807.76, 38,375.27 and 15,232.51

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Solution

The fourth proportional to 27,807.76, 38,375.27 and 15,232.51 is: 21,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.76 : 38,375.27 = 15,232.51 : x
  2. Step 2: Convert to fraction form
    27,807.76/38,375.27 = 15,232.51/x
  3. Step 3: Cross multiply
    27,807.76x = 38,375.27 × 15,232.51
  4. Step 4: Simplify right side
    27,807.76x = 584,551,684.03
  5. Step 5: Solve for x
    x = 584,551,684.03/27,807.76
  6. Step 6: Final answer
    x = 21,021.17

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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.