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Finding the Fourth Proportional to 12,705.72, 17,528.01 and 8,230.92

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Solution

The fourth proportional to 12,705.72, 17,528.01 and 8,230.92 is: 11,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.72 : 17,528.01 = 8,230.92 : x
  2. Step 2: Convert to fraction form
    12,705.72/17,528.01 = 8,230.92/x
  3. Step 3: Cross multiply
    12,705.72x = 17,528.01 × 8,230.92
  4. Step 4: Simplify right side
    12,705.72x = 144,271,648.07
  5. Step 5: Solve for x
    x = 144,271,648.07/12,705.72
  6. Step 6: Final answer
    x = 11,354.86

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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.