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Finding the Fourth Proportional to 13,387.85, 18,474.94 and 7,419.46

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Solution

The fourth proportional to 13,387.85, 18,474.94 and 7,419.46 is: 10,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.85 : 18,474.94 = 7,419.46 : x
  2. Step 2: Convert to fraction form
    13,387.85/18,474.94 = 7,419.46/x
  3. Step 3: Cross multiply
    13,387.85x = 18,474.94 × 7,419.46
  4. Step 4: Simplify right side
    13,387.85x = 137,074,143.07
  5. Step 5: Solve for x
    x = 137,074,143.07/13,387.85
  6. Step 6: Final answer
    x = 10,238.70

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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.