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Finding the Fourth Proportional to 12,362.51, 18,542.40 and 3,478.12

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Solution

The fourth proportional to 12,362.51, 18,542.40 and 3,478.12 is: 5,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.51 : 18,542.40 = 3,478.12 : x
  2. Step 2: Convert to fraction form
    12,362.51/18,542.40 = 3,478.12/x
  3. Step 3: Cross multiply
    12,362.51x = 18,542.40 × 3,478.12
  4. Step 4: Simplify right side
    12,362.51x = 64,492,628.54
  5. Step 5: Solve for x
    x = 64,492,628.54/12,362.51
  6. Step 6: Final answer
    x = 5,216.79

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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.