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Finding the Fourth Proportional to 13,614.43, 18,784.61 and 7,945.93

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Solution

The fourth proportional to 13,614.43, 18,784.61 and 7,945.93 is: 10,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.43 : 18,784.61 = 7,945.93 : x
  2. Step 2: Convert to fraction form
    13,614.43/18,784.61 = 7,945.93/x
  3. Step 3: Cross multiply
    13,614.43x = 18,784.61 × 7,945.93
  4. Step 4: Simplify right side
    13,614.43x = 149,261,156.41
  5. Step 5: Solve for x
    x = 149,261,156.41/13,614.43
  6. Step 6: Final answer
    x = 10,963.46

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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.