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Finding the Fourth Proportional to 12,877.42, 17,771.97 and 7,212.08

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Solution

The fourth proportional to 12,877.42, 17,771.97 and 7,212.08 is: 9,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.42 : 17,771.97 = 7,212.08 : x
  2. Step 2: Convert to fraction form
    12,877.42/17,771.97 = 7,212.08/x
  3. Step 3: Cross multiply
    12,877.42x = 17,771.97 × 7,212.08
  4. Step 4: Simplify right side
    12,877.42x = 128,172,780.54
  5. Step 5: Solve for x
    x = 128,172,780.54/12,877.42
  6. Step 6: Final answer
    x = 9,953.30

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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.