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Finding the Fourth Proportional to 17,381.75, 23,986.66 and 9,829.55

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Solution

The fourth proportional to 17,381.75, 23,986.66 and 9,829.55 is: 13,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.75 : 23,986.66 = 9,829.55 : x
  2. Step 2: Convert to fraction form
    17,381.75/23,986.66 = 9,829.55/x
  3. Step 3: Cross multiply
    17,381.75x = 23,986.66 × 9,829.55
  4. Step 4: Simplify right side
    17,381.75x = 235,778,109.20
  5. Step 5: Solve for x
    x = 235,778,109.20/17,381.75
  6. Step 6: Final answer
    x = 13,564.70

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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.