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Finding the Fourth Proportional to 12,538.60, 17,333.22 and 9,716.20

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Solution

The fourth proportional to 12,538.60, 17,333.22 and 9,716.20 is: 13,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.60 : 17,333.22 = 9,716.20 : x
  2. Step 2: Convert to fraction form
    12,538.60/17,333.22 = 9,716.20/x
  3. Step 3: Cross multiply
    12,538.60x = 17,333.22 × 9,716.20
  4. Step 4: Simplify right side
    12,538.60x = 168,413,032.16
  5. Step 5: Solve for x
    x = 168,413,032.16/12,538.60
  6. Step 6: Final answer
    x = 13,431.57

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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.