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Finding the Fourth Proportional to 17,716.06, 24,447.25 and 9,758.10

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Solution

The fourth proportional to 17,716.06, 24,447.25 and 9,758.10 is: 13,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.06 : 24,447.25 = 9,758.10 : x
  2. Step 2: Convert to fraction form
    17,716.06/24,447.25 = 9,758.10/x
  3. Step 3: Cross multiply
    17,716.06x = 24,447.25 × 9,758.10
  4. Step 4: Simplify right side
    17,716.06x = 238,558,710.23
  5. Step 5: Solve for x
    x = 238,558,710.23/17,716.06
  6. Step 6: Final answer
    x = 13,465.68

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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.