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Finding the Fourth Proportional to 13,706.23, 18,914.58 and 7,418.59

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Solution

The fourth proportional to 13,706.23, 18,914.58 and 7,418.59 is: 10,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.23 : 18,914.58 = 7,418.59 : x
  2. Step 2: Convert to fraction form
    13,706.23/18,914.58 = 7,418.59/x
  3. Step 3: Cross multiply
    13,706.23x = 18,914.58 × 7,418.59
  4. Step 4: Simplify right side
    13,706.23x = 140,319,514.04
  5. Step 5: Solve for x
    x = 140,319,514.04/13,706.23
  6. Step 6: Final answer
    x = 10,237.64

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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.