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Finding the Fourth Proportional to 17,280.13, 23,846.57 and 9,829.57

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Solution

The fourth proportional to 17,280.13, 23,846.57 and 9,829.57 is: 13,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280.13 : 23,846.57 = 9,829.57 : x
  2. Step 2: Convert to fraction form
    17,280.13/23,846.57 = 9,829.57/x
  3. Step 3: Cross multiply
    17,280.13x = 23,846.57 × 9,829.57
  4. Step 4: Simplify right side
    17,280.13x = 234,401,434.42
  5. Step 5: Solve for x
    x = 234,401,434.42/17,280.13
  6. Step 6: Final answer
    x = 13,564.80

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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.