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Finding the Fourth Proportional to 18,097.76, 24,961.56 and 11,378

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Solution

The fourth proportional to 18,097.76, 24,961.56 and 11,378 is: 15,693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.76 : 24,961.56 = 11,378 : x
  2. Step 2: Convert to fraction form
    18,097.76/24,961.56 = 11,378/x
  3. Step 3: Cross multiply
    18,097.76x = 24,961.56 × 11,378
  4. Step 4: Simplify right side
    18,097.76x = 284,012,629.68
  5. Step 5: Solve for x
    x = 284,012,629.68/18,097.76
  6. Step 6: Final answer
    x = 15,693.25

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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.