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Finding the Fourth Proportional to 23,577.68, 35,367.06 and 7,777.64

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Solution

The fourth proportional to 23,577.68, 35,367.06 and 7,777.64 is: 11,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.68 : 35,367.06 = 7,777.64 : x
  2. Step 2: Convert to fraction form
    23,577.68/35,367.06 = 7,777.64/x
  3. Step 3: Cross multiply
    23,577.68x = 35,367.06 × 7,777.64
  4. Step 4: Simplify right side
    23,577.68x = 275,072,260.54
  5. Step 5: Solve for x
    x = 275,072,260.54/23,577.68
  6. Step 6: Final answer
    x = 11,666.64

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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.