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Finding the Fourth Proportional to 19,185.69, 28,778.64 and 8,085.29

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Solution

The fourth proportional to 19,185.69, 28,778.64 and 8,085.29 is: 12,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,185.69 : 28,778.64 = 8,085.29 : x
  2. Step 2: Convert to fraction form
    19,185.69/28,778.64 = 8,085.29/x
  3. Step 3: Cross multiply
    19,185.69x = 28,778.64 × 8,085.29
  4. Step 4: Simplify right side
    19,185.69x = 232,683,764.29
  5. Step 5: Solve for x
    x = 232,683,764.29/19,185.69
  6. Step 6: Final answer
    x = 12,127.99

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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.