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Finding the Fourth Proportional to 13,270.34, 18,313.14 and 7,301.90

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Solution

The fourth proportional to 13,270.34, 18,313.14 and 7,301.90 is: 10,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.34 : 18,313.14 = 7,301.90 : x
  2. Step 2: Convert to fraction form
    13,270.34/18,313.14 = 7,301.90/x
  3. Step 3: Cross multiply
    13,270.34x = 18,313.14 × 7,301.90
  4. Step 4: Simplify right side
    13,270.34x = 133,720,716.97
  5. Step 5: Solve for x
    x = 133,720,716.97/13,270.34
  6. Step 6: Final answer
    x = 10,076.66

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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.