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Finding the Fourth Proportional to 15,400.39, 21,258 and 9,112.75

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Solution

The fourth proportional to 15,400.39, 21,258 and 9,112.75 is: 12,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.39 : 21,258 = 9,112.75 : x
  2. Step 2: Convert to fraction form
    15,400.39/21,258 = 9,112.75/x
  3. Step 3: Cross multiply
    15,400.39x = 21,258 × 9,112.75
  4. Step 4: Simplify right side
    15,400.39x = 193,718,839.50
  5. Step 5: Solve for x
    x = 193,718,839.50/15,400.39
  6. Step 6: Final answer
    x = 12,578.83

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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.