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Finding the Fourth Proportional to 19,296.86, 28,930.70 and 6,141.65

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Solution

The fourth proportional to 19,296.86, 28,930.70 and 6,141.65 is: 9,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,296.86 : 28,930.70 = 6,141.65 : x
  2. Step 2: Convert to fraction form
    19,296.86/28,930.70 = 6,141.65/x
  3. Step 3: Cross multiply
    19,296.86x = 28,930.70 × 6,141.65
  4. Step 4: Simplify right side
    19,296.86x = 177,682,058.29
  5. Step 5: Solve for x
    x = 177,682,058.29/19,296.86
  6. Step 6: Final answer
    x = 9,207.82

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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.