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Finding the Fourth Proportional to 17,716.23, 24,448.71 and 9,758.40

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Solution

The fourth proportional to 17,716.23, 24,448.71 and 9,758.40 is: 13,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.23 : 24,448.71 = 9,758.40 : x
  2. Step 2: Convert to fraction form
    17,716.23/24,448.71 = 9,758.40/x
  3. Step 3: Cross multiply
    17,716.23x = 24,448.71 × 9,758.40
  4. Step 4: Simplify right side
    17,716.23x = 238,580,291.66
  5. Step 5: Solve for x
    x = 238,580,291.66/17,716.23
  6. Step 6: Final answer
    x = 13,466.76

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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.