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Finding the Fourth Proportional to 19,616.50, 27,068.75 and 11,657.19

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Solution

The fourth proportional to 19,616.50, 27,068.75 and 11,657.19 is: 16,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.50 : 27,068.75 = 11,657.19 : x
  2. Step 2: Convert to fraction form
    19,616.50/27,068.75 = 11,657.19/x
  3. Step 3: Cross multiply
    19,616.50x = 27,068.75 × 11,657.19
  4. Step 4: Simplify right side
    19,616.50x = 315,545,648.75
  5. Step 5: Solve for x
    x = 315,545,648.75/19,616.50
  6. Step 6: Final answer
    x = 16,085.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.