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Finding the Fourth Proportional to 23,078.81, 34,621.56 and 7,278.48

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Solution

The fourth proportional to 23,078.81, 34,621.56 and 7,278.48 is: 10,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.81 : 34,621.56 = 7,278.48 : x
  2. Step 2: Convert to fraction form
    23,078.81/34,621.56 = 7,278.48/x
  3. Step 3: Cross multiply
    23,078.81x = 34,621.56 × 7,278.48
  4. Step 4: Simplify right side
    23,078.81x = 251,992,332.03
  5. Step 5: Solve for x
    x = 251,992,332.03/23,078.81
  6. Step 6: Final answer
    x = 10,918.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.