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Finding the Fourth Proportional to 12,268.64, 16,911.60 and 10,275.68

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Solution

The fourth proportional to 12,268.64, 16,911.60 and 10,275.68 is: 14,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,268.64 : 16,911.60 = 10,275.68 : x
  2. Step 2: Convert to fraction form
    12,268.64/16,911.60 = 10,275.68/x
  3. Step 3: Cross multiply
    12,268.64x = 16,911.60 × 10,275.68
  4. Step 4: Simplify right side
    12,268.64x = 173,778,189.89
  5. Step 5: Solve for x
    x = 173,778,189.89/12,268.64
  6. Step 6: Final answer
    x = 14,164.42

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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.