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Finding the Fourth Proportional to 23,150.34, 34,720.02 and 6,511.86

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Solution

The fourth proportional to 23,150.34, 34,720.02 and 6,511.86 is: 9,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,150.34 : 34,720.02 = 6,511.86 : x
  2. Step 2: Convert to fraction form
    23,150.34/34,720.02 = 6,511.86/x
  3. Step 3: Cross multiply
    23,150.34x = 34,720.02 × 6,511.86
  4. Step 4: Simplify right side
    23,150.34x = 226,091,909.44
  5. Step 5: Solve for x
    x = 226,091,909.44/23,150.34
  6. Step 6: Final answer
    x = 9,766.25

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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.