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Finding the Fourth Proportional to 23,807.72, 35,716.08 and 9,577.28

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Solution

The fourth proportional to 23,807.72, 35,716.08 and 9,577.28 is: 14,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.72 : 35,716.08 = 9,577.28 : x
  2. Step 2: Convert to fraction form
    23,807.72/35,716.08 = 9,577.28/x
  3. Step 3: Cross multiply
    23,807.72x = 35,716.08 × 9,577.28
  4. Step 4: Simplify right side
    23,807.72x = 342,062,898.66
  5. Step 5: Solve for x
    x = 342,062,898.66/23,807.72
  6. Step 6: Final answer
    x = 14,367.73

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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.