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Finding the Fourth Proportional to 13,387.02, 18,474.42 and 7,418.76

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Solution

The fourth proportional to 13,387.02, 18,474.42 and 7,418.76 is: 10,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.02 : 18,474.42 = 7,418.76 : x
  2. Step 2: Convert to fraction form
    13,387.02/18,474.42 = 7,418.76/x
  3. Step 3: Cross multiply
    13,387.02x = 18,474.42 × 7,418.76
  4. Step 4: Simplify right side
    13,387.02x = 137,057,288.12
  5. Step 5: Solve for x
    x = 137,057,288.12/13,387.02
  6. Step 6: Final answer
    x = 10,238.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.