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Finding the Fourth Proportional to 13,387.41, 18,473.94 and 7,419.02

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Solution

The fourth proportional to 13,387.41, 18,473.94 and 7,419.02 is: 10,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.41 : 18,473.94 = 7,419.02 : x
  2. Step 2: Convert to fraction form
    13,387.41/18,473.94 = 7,419.02/x
  3. Step 3: Cross multiply
    13,387.41x = 18,473.94 × 7,419.02
  4. Step 4: Simplify right side
    13,387.41x = 137,058,437.97
  5. Step 5: Solve for x
    x = 137,058,437.97/13,387.41
  6. Step 6: Final answer
    x = 10,237.86

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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.