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Finding the Fourth Proportional to 15,778.80, 21,774.60 and 8,705.04

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Solution

The fourth proportional to 15,778.80, 21,774.60 and 8,705.04 is: 12,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.80 : 21,774.60 = 8,705.04 : x
  2. Step 2: Convert to fraction form
    15,778.80/21,774.60 = 8,705.04/x
  3. Step 3: Cross multiply
    15,778.80x = 21,774.60 × 8,705.04
  4. Step 4: Simplify right side
    15,778.80x = 189,548,763.98
  5. Step 5: Solve for x
    x = 189,548,763.98/15,778.80
  6. Step 6: Final answer
    x = 12,012.88

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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.