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Finding the Fourth Proportional to 17,277.39, 23,842.80 and 9,825.39

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Solution

The fourth proportional to 17,277.39, 23,842.80 and 9,825.39 is: 13,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.39 : 23,842.80 = 9,825.39 : x
  2. Step 2: Convert to fraction form
    17,277.39/23,842.80 = 9,825.39/x
  3. Step 3: Cross multiply
    17,277.39x = 23,842.80 × 9,825.39
  4. Step 4: Simplify right side
    17,277.39x = 234,264,808.69
  5. Step 5: Solve for x
    x = 234,264,808.69/17,277.39
  6. Step 6: Final answer
    x = 13,559.04

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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.