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Finding the Fourth Proportional to 19,770.72, 27,276.84 and 12,209.16

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Solution

The fourth proportional to 19,770.72, 27,276.84 and 12,209.16 is: 16,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.72 : 27,276.84 = 12,209.16 : x
  2. Step 2: Convert to fraction form
    19,770.72/27,276.84 = 12,209.16/x
  3. Step 3: Cross multiply
    19,770.72x = 27,276.84 × 12,209.16
  4. Step 4: Simplify right side
    19,770.72x = 333,027,303.85
  5. Step 5: Solve for x
    x = 333,027,303.85/19,770.72
  6. Step 6: Final answer
    x = 16,844.47

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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.