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Finding the Fourth Proportional to 13,351.47, 18,424.83 and 7,383

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Solution

The fourth proportional to 13,351.47, 18,424.83 and 7,383 is: 10,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,351.47 : 18,424.83 = 7,383 : x
  2. Step 2: Convert to fraction form
    13,351.47/18,424.83 = 7,383/x
  3. Step 3: Cross multiply
    13,351.47x = 18,424.83 × 7,383
  4. Step 4: Simplify right side
    13,351.47x = 136,030,519.89
  5. Step 5: Solve for x
    x = 136,030,519.89/13,351.47
  6. Step 6: Final answer
    x = 10,188.43

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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.