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Finding the Fourth Proportional to 12,857.80, 19,292.24 and 4,543.88

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Solution

The fourth proportional to 12,857.80, 19,292.24 and 4,543.88 is: 6,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.80 : 19,292.24 = 4,543.88 : x
  2. Step 2: Convert to fraction form
    12,857.80/19,292.24 = 4,543.88/x
  3. Step 3: Cross multiply
    12,857.80x = 19,292.24 × 4,543.88
  4. Step 4: Simplify right side
    12,857.80x = 87,661,623.49
  5. Step 5: Solve for x
    x = 87,661,623.49/12,857.80
  6. Step 6: Final answer
    x = 6,817.78

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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.