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Finding the Fourth Proportional to 17,683.75, 24,402.94 and 9,725.50

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Solution

The fourth proportional to 17,683.75, 24,402.94 and 9,725.50 is: 13,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.75 : 24,402.94 = 9,725.50 : x
  2. Step 2: Convert to fraction form
    17,683.75/24,402.94 = 9,725.50/x
  3. Step 3: Cross multiply
    17,683.75x = 24,402.94 × 9,725.50
  4. Step 4: Simplify right side
    17,683.75x = 237,330,792.97
  5. Step 5: Solve for x
    x = 237,330,792.97/17,683.75
  6. Step 6: Final answer
    x = 13,420.84

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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.