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Finding the Fourth Proportional to 23,333.86, 35,000.16 and 7,538.86

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Solution

The fourth proportional to 23,333.86, 35,000.16 and 7,538.86 is: 11,308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,333.86 : 35,000.16 = 7,538.86 : x
  2. Step 2: Convert to fraction form
    23,333.86/35,000.16 = 7,538.86/x
  3. Step 3: Cross multiply
    23,333.86x = 35,000.16 × 7,538.86
  4. Step 4: Simplify right side
    23,333.86x = 263,861,306.22
  5. Step 5: Solve for x
    x = 263,861,306.22/23,333.86
  6. Step 6: Final answer
    x = 11,308.09

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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.