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Finding the Fourth Proportional to 13,012.12, 17,947.46 and 8,980.48

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Solution

The fourth proportional to 13,012.12, 17,947.46 and 8,980.48 is: 12,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.12 : 17,947.46 = 8,980.48 : x
  2. Step 2: Convert to fraction form
    13,012.12/17,947.46 = 8,980.48/x
  3. Step 3: Cross multiply
    13,012.12x = 17,947.46 × 8,980.48
  4. Step 4: Simplify right side
    13,012.12x = 161,176,805.58
  5. Step 5: Solve for x
    x = 161,176,805.58/13,012.12
  6. Step 6: Final answer
    x = 12,386.67

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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.