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Finding the Fourth Proportional to 23,006.96, 34,511.89 and 6,139.65

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Solution

The fourth proportional to 23,006.96, 34,511.89 and 6,139.65 is: 9,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,006.96 : 34,511.89 = 6,139.65 : x
  2. Step 2: Convert to fraction form
    23,006.96/34,511.89 = 6,139.65/x
  3. Step 3: Cross multiply
    23,006.96x = 34,511.89 × 6,139.65
  4. Step 4: Simplify right side
    23,006.96x = 211,890,925.44
  5. Step 5: Solve for x
    x = 211,890,925.44/23,006.96
  6. Step 6: Final answer
    x = 9,209.86

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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.