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Finding the Fourth Proportional to 13,414.70, 18,511.26 and 7,746.86

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Solution

The fourth proportional to 13,414.70, 18,511.26 and 7,746.86 is: 10,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.70 : 18,511.26 = 7,746.86 : x
  2. Step 2: Convert to fraction form
    13,414.70/18,511.26 = 7,746.86/x
  3. Step 3: Cross multiply
    13,414.70x = 18,511.26 × 7,746.86
  4. Step 4: Simplify right side
    13,414.70x = 143,404,139.64
  5. Step 5: Solve for x
    x = 143,404,139.64/13,414.70
  6. Step 6: Final answer
    x = 10,690.07

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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.