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Finding the Fourth Proportional to 13,728.61, 18,938.49 and 8,684.35

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Solution

The fourth proportional to 13,728.61, 18,938.49 and 8,684.35 is: 11,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.61 : 18,938.49 = 8,684.35 : x
  2. Step 2: Convert to fraction form
    13,728.61/18,938.49 = 8,684.35/x
  3. Step 3: Cross multiply
    13,728.61x = 18,938.49 × 8,684.35
  4. Step 4: Simplify right side
    13,728.61x = 164,468,475.63
  5. Step 5: Solve for x
    x = 164,468,475.63/13,728.61
  6. Step 6: Final answer
    x = 11,979.98

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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.