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Finding the Fourth Proportional to 13,554.80, 20,327.88 and 6,980.12

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Solution

The fourth proportional to 13,554.80, 20,327.88 and 6,980.12 is: 10,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.80 : 20,327.88 = 6,980.12 : x
  2. Step 2: Convert to fraction form
    13,554.80/20,327.88 = 6,980.12/x
  3. Step 3: Cross multiply
    13,554.80x = 20,327.88 × 6,980.12
  4. Step 4: Simplify right side
    13,554.80x = 141,891,041.75
  5. Step 5: Solve for x
    x = 141,891,041.75/13,554.80
  6. Step 6: Final answer
    x = 10,467.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.