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Finding the Fourth Proportional to 12,384.42, 17,090.37 and 7,669.14

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Solution

The fourth proportional to 12,384.42, 17,090.37 and 7,669.14 is: 10,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.42 : 17,090.37 = 7,669.14 : x
  2. Step 2: Convert to fraction form
    12,384.42/17,090.37 = 7,669.14/x
  3. Step 3: Cross multiply
    12,384.42x = 17,090.37 × 7,669.14
  4. Step 4: Simplify right side
    12,384.42x = 131,068,440.18
  5. Step 5: Solve for x
    x = 131,068,440.18/12,384.42
  6. Step 6: Final answer
    x = 10,583.33

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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.