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Finding the Fourth Proportional to 12,414.47, 17,133.53 and 7,699.46

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Solution

The fourth proportional to 12,414.47, 17,133.53 and 7,699.46 is: 10,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.47 : 17,133.53 = 7,699.46 : x
  2. Step 2: Convert to fraction form
    12,414.47/17,133.53 = 7,699.46/x
  3. Step 3: Cross multiply
    12,414.47x = 17,133.53 × 7,699.46
  4. Step 4: Simplify right side
    12,414.47x = 131,918,804.73
  5. Step 5: Solve for x
    x = 131,918,804.73/12,414.47
  6. Step 6: Final answer
    x = 10,626.22

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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.