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Finding the Fourth Proportional to 17,807.72, 24,577.74 and 10,734.15

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Solution

The fourth proportional to 17,807.72, 24,577.74 and 10,734.15 is: 14,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.72 : 24,577.74 = 10,734.15 : x
  2. Step 2: Convert to fraction form
    17,807.72/24,577.74 = 10,734.15/x
  3. Step 3: Cross multiply
    17,807.72x = 24,577.74 × 10,734.15
  4. Step 4: Simplify right side
    17,807.72x = 263,821,147.82
  5. Step 5: Solve for x
    x = 263,821,147.82/17,807.72
  6. Step 6: Final answer
    x = 14,814.99

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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.