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Finding the Fourth Proportional to 13,313.34, 18,373.34 and 7,649

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Solution

The fourth proportional to 13,313.34, 18,373.34 and 7,649 is: 10,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.34 : 18,373.34 = 7,649 : x
  2. Step 2: Convert to fraction form
    13,313.34/18,373.34 = 7,649/x
  3. Step 3: Cross multiply
    13,313.34x = 18,373.34 × 7,649
  4. Step 4: Simplify right side
    13,313.34x = 140,537,677.66
  5. Step 5: Solve for x
    x = 140,537,677.66/13,313.34
  6. Step 6: Final answer
    x = 10,556.15

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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.