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Finding the Fourth Proportional to 12,361, 18,541.35 and 3,001.09

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Solution

The fourth proportional to 12,361, 18,541.35 and 3,001.09 is: 4,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361 : 18,541.35 = 3,001.09 : x
  2. Step 2: Convert to fraction form
    12,361/18,541.35 = 3,001.09/x
  3. Step 3: Cross multiply
    12,361x = 18,541.35 × 3,001.09
  4. Step 4: Simplify right side
    12,361x = 55,644,260.07
  5. Step 5: Solve for x
    x = 55,644,260.07/12,361
  6. Step 6: Final answer
    x = 4,501.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.