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Finding the Fourth Proportional to 27,913.42, 41,813.56 and 12,899.19

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Solution

The fourth proportional to 27,913.42, 41,813.56 and 12,899.19 is: 19,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913.42 : 41,813.56 = 12,899.19 : x
  2. Step 2: Convert to fraction form
    27,913.42/41,813.56 = 12,899.19/x
  3. Step 3: Cross multiply
    27,913.42x = 41,813.56 × 12,899.19
  4. Step 4: Simplify right side
    27,913.42x = 539,361,055.02
  5. Step 5: Solve for x
    x = 539,361,055.02/27,913.42
  6. Step 6: Final answer
    x = 19,322.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.