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Finding the Fourth Proportional to 13,386.80, 18,473.91 and 7,418.54

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Solution

The fourth proportional to 13,386.80, 18,473.91 and 7,418.54 is: 10,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.80 : 18,473.91 = 7,418.54 : x
  2. Step 2: Convert to fraction form
    13,386.80/18,473.91 = 7,418.54/x
  3. Step 3: Cross multiply
    13,386.80x = 18,473.91 × 7,418.54
  4. Step 4: Simplify right side
    13,386.80x = 137,049,440.29
  5. Step 5: Solve for x
    x = 137,049,440.29/13,386.80
  6. Step 6: Final answer
    x = 10,237.66

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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.