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Finding the Fourth Proportional to 23,573.32, 35,350.86 and 7,777.76

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Solution

The fourth proportional to 23,573.32, 35,350.86 and 7,777.76 is: 11,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.32 : 35,350.86 = 7,777.76 : x
  2. Step 2: Convert to fraction form
    23,573.32/35,350.86 = 7,777.76/x
  3. Step 3: Cross multiply
    23,573.32x = 35,350.86 × 7,777.76
  4. Step 4: Simplify right side
    23,573.32x = 274,950,504.87
  5. Step 5: Solve for x
    x = 274,950,504.87/23,573.32
  6. Step 6: Final answer
    x = 11,663.63

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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.