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Finding the Fourth Proportional to 12,827.72, 17,701.08 and 7,521.56

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Solution

The fourth proportional to 12,827.72, 17,701.08 and 7,521.56 is: 10,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.72 : 17,701.08 = 7,521.56 : x
  2. Step 2: Convert to fraction form
    12,827.72/17,701.08 = 7,521.56/x
  3. Step 3: Cross multiply
    12,827.72x = 17,701.08 × 7,521.56
  4. Step 4: Simplify right side
    12,827.72x = 133,139,735.28
  5. Step 5: Solve for x
    x = 133,139,735.28/12,827.72
  6. Step 6: Final answer
    x = 10,379.06

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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.