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Finding the Fourth Proportional to 23,190.02, 34,777.74 and 7,604

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Solution

The fourth proportional to 23,190.02, 34,777.74 and 7,604 is: 11,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,190.02 : 34,777.74 = 7,604 : x
  2. Step 2: Convert to fraction form
    23,190.02/34,777.74 = 7,604/x
  3. Step 3: Cross multiply
    23,190.02x = 34,777.74 × 7,604
  4. Step 4: Simplify right side
    23,190.02x = 264,449,934.96
  5. Step 5: Solve for x
    x = 264,449,934.96/23,190.02
  6. Step 6: Final answer
    x = 11,403.61

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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.