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Finding the Fourth Proportional to 23,322.86, 34,989.76 and 7,740.49

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Solution

The fourth proportional to 23,322.86, 34,989.76 and 7,740.49 is: 11,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.86 : 34,989.76 = 7,740.49 : x
  2. Step 2: Convert to fraction form
    23,322.86/34,989.76 = 7,740.49/x
  3. Step 3: Cross multiply
    23,322.86x = 34,989.76 × 7,740.49
  4. Step 4: Simplify right side
    23,322.86x = 270,837,780.56
  5. Step 5: Solve for x
    x = 270,837,780.56/23,322.86
  6. Step 6: Final answer
    x = 11,612.54

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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.