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Finding the Fourth Proportional to 12,827.42, 17,701.32 and 7,161.99

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Solution

The fourth proportional to 12,827.42, 17,701.32 and 7,161.99 is: 9,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.42 : 17,701.32 = 7,161.99 : x
  2. Step 2: Convert to fraction form
    12,827.42/17,701.32 = 7,161.99/x
  3. Step 3: Cross multiply
    12,827.42x = 17,701.32 × 7,161.99
  4. Step 4: Simplify right side
    12,827.42x = 126,776,676.83
  5. Step 5: Solve for x
    x = 126,776,676.83/12,827.42
  6. Step 6: Final answer
    x = 9,883.26

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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.