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Finding the Fourth Proportional to 12,128.81, 16,735.23 and 7,092.05

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Solution

The fourth proportional to 12,128.81, 16,735.23 and 7,092.05 is: 9,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.81 : 16,735.23 = 7,092.05 : x
  2. Step 2: Convert to fraction form
    12,128.81/16,735.23 = 7,092.05/x
  3. Step 3: Cross multiply
    12,128.81x = 16,735.23 × 7,092.05
  4. Step 4: Simplify right side
    12,128.81x = 118,687,004.25
  5. Step 5: Solve for x
    x = 118,687,004.25/12,128.81
  6. Step 6: Final answer
    x = 9,785.55

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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.