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Finding the Fourth Proportional to 19,684.50, 27,164.61 and 12,612.29

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Solution

The fourth proportional to 19,684.50, 27,164.61 and 12,612.29 is: 17,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.50 : 27,164.61 = 12,612.29 : x
  2. Step 2: Convert to fraction form
    19,684.50/27,164.61 = 12,612.29/x
  3. Step 3: Cross multiply
    19,684.50x = 27,164.61 × 12,612.29
  4. Step 4: Simplify right side
    19,684.50x = 342,607,803.23
  5. Step 5: Solve for x
    x = 342,607,803.23/19,684.50
  6. Step 6: Final answer
    x = 17,404.95

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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.