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Finding the Fourth Proportional to 13,386.57, 18,473.25 and 7,418.22

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Solution

The fourth proportional to 13,386.57, 18,473.25 and 7,418.22 is: 10,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.57 : 18,473.25 = 7,418.22 : x
  2. Step 2: Convert to fraction form
    13,386.57/18,473.25 = 7,418.22/x
  3. Step 3: Cross multiply
    13,386.57x = 18,473.25 × 7,418.22
  4. Step 4: Simplify right side
    13,386.57x = 137,038,632.62
  5. Step 5: Solve for x
    x = 137,038,632.62/13,386.57
  6. Step 6: Final answer
    x = 10,237.02

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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.