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Finding the Fourth Proportional to 27,939.04, 38,544 and 17,865.28

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Solution

The fourth proportional to 27,939.04, 38,544 and 17,865.28 is: 24,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,939.04 : 38,544 = 17,865.28 : x
  2. Step 2: Convert to fraction form
    27,939.04/38,544 = 17,865.28/x
  3. Step 3: Cross multiply
    27,939.04x = 38,544 × 17,865.28
  4. Step 4: Simplify right side
    27,939.04x = 688,599,352.32
  5. Step 5: Solve for x
    x = 688,599,352.32/27,939.04
  6. Step 6: Final answer
    x = 24,646.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.