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Finding the Fourth Proportional to 17,282.23, 23,850.02 and 9,830.71

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Solution

The fourth proportional to 17,282.23, 23,850.02 and 9,830.71 is: 13,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.23 : 23,850.02 = 9,830.71 : x
  2. Step 2: Convert to fraction form
    17,282.23/23,850.02 = 9,830.71/x
  3. Step 3: Cross multiply
    17,282.23x = 23,850.02 × 9,830.71
  4. Step 4: Simplify right side
    17,282.23x = 234,462,580.96
  5. Step 5: Solve for x
    x = 234,462,580.96/17,282.23
  6. Step 6: Final answer
    x = 13,566.69

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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.