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Finding the Fourth Proportional to 13,733.34, 18,953.16 and 7,765.41

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Solution

The fourth proportional to 13,733.34, 18,953.16 and 7,765.41 is: 10,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.34 : 18,953.16 = 7,765.41 : x
  2. Step 2: Convert to fraction form
    13,733.34/18,953.16 = 7,765.41/x
  3. Step 3: Cross multiply
    13,733.34x = 18,953.16 × 7,765.41
  4. Step 4: Simplify right side
    13,733.34x = 147,179,058.20
  5. Step 5: Solve for x
    x = 147,179,058.20/13,733.34
  6. Step 6: Final answer
    x = 10,716.92

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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.