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Finding the Fourth Proportional to 12,268.15, 16,929.78 and 7,164.54

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Solution

The fourth proportional to 12,268.15, 16,929.78 and 7,164.54 is: 9,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.15 : 16,929.78 = 7,164.54 : x
  2. Step 2: Convert to fraction form
    12,268.15/16,929.78 = 7,164.54/x
  3. Step 3: Cross multiply
    12,268.15x = 16,929.78 × 7,164.54
  4. Step 4: Simplify right side
    12,268.15x = 121,294,059.13
  5. Step 5: Solve for x
    x = 121,294,059.13/12,268.15
  6. Step 6: Final answer
    x = 9,886.91

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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.