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Finding the Fourth Proportional to 17,782.29, 24,539.64 and 9,716.07

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Solution

The fourth proportional to 17,782.29, 24,539.64 and 9,716.07 is: 13,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.29 : 24,539.64 = 9,716.07 : x
  2. Step 2: Convert to fraction form
    17,782.29/24,539.64 = 9,716.07/x
  3. Step 3: Cross multiply
    17,782.29x = 24,539.64 × 9,716.07
  4. Step 4: Simplify right side
    17,782.29x = 238,428,860.01
  5. Step 5: Solve for x
    x = 238,428,860.01/17,782.29
  6. Step 6: Final answer
    x = 13,408.22

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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.