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Finding the Fourth Proportional to 13,706.08, 18,914.40 and 7,418.46

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Solution

The fourth proportional to 13,706.08, 18,914.40 and 7,418.46 is: 10,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.08 : 18,914.40 = 7,418.46 : x
  2. Step 2: Convert to fraction form
    13,706.08/18,914.40 = 7,418.46/x
  3. Step 3: Cross multiply
    13,706.08x = 18,914.40 × 7,418.46
  4. Step 4: Simplify right side
    13,706.08x = 140,315,719.82
  5. Step 5: Solve for x
    x = 140,315,719.82/13,706.08
  6. Step 6: Final answer
    x = 10,237.48

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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.