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Finding the Fourth Proportional to 23,189.76, 34,780.80 and 7,605.12

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Solution

The fourth proportional to 23,189.76, 34,780.80 and 7,605.12 is: 11,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.76 : 34,780.80 = 7,605.12 : x
  2. Step 2: Convert to fraction form
    23,189.76/34,780.80 = 7,605.12/x
  3. Step 3: Cross multiply
    23,189.76x = 34,780.80 × 7,605.12
  4. Step 4: Simplify right side
    23,189.76x = 264,512,157.70
  5. Step 5: Solve for x
    x = 264,512,157.70/23,189.76
  6. Step 6: Final answer
    x = 11,406.42

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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.