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Finding the Fourth Proportional to 23,187.34, 34,786.41 and 7,604.02

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Solution

The fourth proportional to 23,187.34, 34,786.41 and 7,604.02 is: 11,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.34 : 34,786.41 = 7,604.02 : x
  2. Step 2: Convert to fraction form
    23,187.34/34,786.41 = 7,604.02/x
  3. Step 3: Cross multiply
    23,187.34x = 34,786.41 × 7,604.02
  4. Step 4: Simplify right side
    23,187.34x = 264,516,557.37
  5. Step 5: Solve for x
    x = 264,516,557.37/23,187.34
  6. Step 6: Final answer
    x = 11,407.80

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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.