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Finding the Fourth Proportional to 27,857.60, 38,433.65 and 15,756.47

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Solution

The fourth proportional to 27,857.60, 38,433.65 and 15,756.47 is: 21,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.60 : 38,433.65 = 15,756.47 : x
  2. Step 2: Convert to fraction form
    27,857.60/38,433.65 = 15,756.47/x
  3. Step 3: Cross multiply
    27,857.60x = 38,433.65 × 15,756.47
  4. Step 4: Simplify right side
    27,857.60x = 605,578,382.26
  5. Step 5: Solve for x
    x = 605,578,382.26/27,857.60
  6. Step 6: Final answer
    x = 21,738.36

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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.