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Finding the Fourth Proportional to 13,234.63, 18,265.41 and 7,645.63

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Solution

The fourth proportional to 13,234.63, 18,265.41 and 7,645.63 is: 10,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.63 : 18,265.41 = 7,645.63 : x
  2. Step 2: Convert to fraction form
    13,234.63/18,265.41 = 7,645.63/x
  3. Step 3: Cross multiply
    13,234.63x = 18,265.41 × 7,645.63
  4. Step 4: Simplify right side
    13,234.63x = 139,650,437.10
  5. Step 5: Solve for x
    x = 139,650,437.10/13,234.63
  6. Step 6: Final answer
    x = 10,551.90

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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.