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Finding the Fourth Proportional to 11,414.60, 15,715.80 and 10,069.05

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Solution

The fourth proportional to 11,414.60, 15,715.80 and 10,069.05 is: 13,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.60 : 15,715.80 = 10,069.05 : x
  2. Step 2: Convert to fraction form
    11,414.60/15,715.80 = 10,069.05/x
  3. Step 3: Cross multiply
    11,414.60x = 15,715.80 × 10,069.05
  4. Step 4: Simplify right side
    11,414.60x = 158,243,175.99
  5. Step 5: Solve for x
    x = 158,243,175.99/11,414.60
  6. Step 6: Final answer
    x = 13,863.23

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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.