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Finding the Fourth Proportional to 23,392, 35,094.08 and 6,976

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Solution

The fourth proportional to 23,392, 35,094.08 and 6,976 is: 10,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392 : 35,094.08 = 6,976 : x
  2. Step 2: Convert to fraction form
    23,392/35,094.08 = 6,976/x
  3. Step 3: Cross multiply
    23,392x = 35,094.08 × 6,976
  4. Step 4: Simplify right side
    23,392x = 244,816,302.08
  5. Step 5: Solve for x
    x = 244,816,302.08/23,392
  6. Step 6: Final answer
    x = 10,465.81

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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.