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Finding the Fourth Proportional to 20,393.25, 30,598.04 and 9,305.16

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Solution

The fourth proportional to 20,393.25, 30,598.04 and 9,305.16 is: 13,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.25 : 30,598.04 = 9,305.16 : x
  2. Step 2: Convert to fraction form
    20,393.25/30,598.04 = 9,305.16/x
  3. Step 3: Cross multiply
    20,393.25x = 30,598.04 × 9,305.16
  4. Step 4: Simplify right side
    20,393.25x = 284,719,657.89
  5. Step 5: Solve for x
    x = 284,719,657.89/20,393.25
  6. Step 6: Final answer
    x = 13,961.47

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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.