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Finding the Fourth Proportional to 13,004.35, 17,945.98 and 7,036

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Solution

The fourth proportional to 13,004.35, 17,945.98 and 7,036 is: 9,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.35 : 17,945.98 = 7,036 : x
  2. Step 2: Convert to fraction form
    13,004.35/17,945.98 = 7,036/x
  3. Step 3: Cross multiply
    13,004.35x = 17,945.98 × 7,036
  4. Step 4: Simplify right side
    13,004.35x = 126,267,915.28
  5. Step 5: Solve for x
    x = 126,267,915.28/13,004.35
  6. Step 6: Final answer
    x = 9,709.67

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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.