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Finding the Fourth Proportional to 12,585.42, 18,892.72 and 6,753.42

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Solution

The fourth proportional to 12,585.42, 18,892.72 and 6,753.42 is: 10,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.42 : 18,892.72 = 6,753.42 : x
  2. Step 2: Convert to fraction form
    12,585.42/18,892.72 = 6,753.42/x
  3. Step 3: Cross multiply
    12,585.42x = 18,892.72 × 6,753.42
  4. Step 4: Simplify right side
    12,585.42x = 127,590,473.10
  5. Step 5: Solve for x
    x = 127,590,473.10/12,585.42
  6. Step 6: Final answer
    x = 10,137.96

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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.