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Finding the Fourth Proportional to 12,683.57, 17,520.05 and 9,735.83

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Solution

The fourth proportional to 12,683.57, 17,520.05 and 9,735.83 is: 13,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.57 : 17,520.05 = 9,735.83 : x
  2. Step 2: Convert to fraction form
    12,683.57/17,520.05 = 9,735.83/x
  3. Step 3: Cross multiply
    12,683.57x = 17,520.05 × 9,735.83
  4. Step 4: Simplify right side
    12,683.57x = 170,572,228.39
  5. Step 5: Solve for x
    x = 170,572,228.39/12,683.57
  6. Step 6: Final answer
    x = 13,448.28

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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.