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Finding the Fourth Proportional to 12,708.16, 17,538.36 and 7,403.48

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Solution

The fourth proportional to 12,708.16, 17,538.36 and 7,403.48 is: 10,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.16 : 17,538.36 = 7,403.48 : x
  2. Step 2: Convert to fraction form
    12,708.16/17,538.36 = 7,403.48/x
  3. Step 3: Cross multiply
    12,708.16x = 17,538.36 × 7,403.48
  4. Step 4: Simplify right side
    12,708.16x = 129,844,897.49
  5. Step 5: Solve for x
    x = 129,844,897.49/12,708.16
  6. Step 6: Final answer
    x = 10,217.44

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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.