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Finding the Fourth Proportional to 13,246.35, 18,274.80 and 7,578.09

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Solution

The fourth proportional to 13,246.35, 18,274.80 and 7,578.09 is: 10,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.35 : 18,274.80 = 7,578.09 : x
  2. Step 2: Convert to fraction form
    13,246.35/18,274.80 = 7,578.09/x
  3. Step 3: Cross multiply
    13,246.35x = 18,274.80 × 7,578.09
  4. Step 4: Simplify right side
    13,246.35x = 138,488,079.13
  5. Step 5: Solve for x
    x = 138,488,079.13/13,246.35
  6. Step 6: Final answer
    x = 10,454.81

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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.