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Finding the Fourth Proportional to 12,585.27, 17,342.08 and 9,735.34

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Solution

The fourth proportional to 12,585.27, 17,342.08 and 9,735.34 is: 13,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.27 : 17,342.08 = 9,735.34 : x
  2. Step 2: Convert to fraction form
    12,585.27/17,342.08 = 9,735.34/x
  3. Step 3: Cross multiply
    12,585.27x = 17,342.08 × 9,735.34
  4. Step 4: Simplify right side
    12,585.27x = 168,830,958.40
  5. Step 5: Solve for x
    x = 168,830,958.40/12,585.27
  6. Step 6: Final answer
    x = 13,414.97

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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.