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Finding the Fourth Proportional to 17,683.50, 24,402.54 and 9,725.22

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Solution

The fourth proportional to 17,683.50, 24,402.54 and 9,725.22 is: 13,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.50 : 24,402.54 = 9,725.22 : x
  2. Step 2: Convert to fraction form
    17,683.50/24,402.54 = 9,725.22/x
  3. Step 3: Cross multiply
    17,683.50x = 24,402.54 × 9,725.22
  4. Step 4: Simplify right side
    17,683.50x = 237,320,070.06
  5. Step 5: Solve for x
    x = 237,320,070.06/17,683.50
  6. Step 6: Final answer
    x = 13,420.42

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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.