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Finding the Fourth Proportional to 13,077.92, 19,625.16 and 11,847.80

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Solution

The fourth proportional to 13,077.92, 19,625.16 and 11,847.80 is: 17,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.92 : 19,625.16 = 11,847.80 : x
  2. Step 2: Convert to fraction form
    13,077.92/19,625.16 = 11,847.80/x
  3. Step 3: Cross multiply
    13,077.92x = 19,625.16 × 11,847.80
  4. Step 4: Simplify right side
    13,077.92x = 232,514,970.65
  5. Step 5: Solve for x
    x = 232,514,970.65/13,077.92
  6. Step 6: Final answer
    x = 17,779.20

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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.