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Finding the Fourth Proportional to 19,857.70, 27,416.46 and 12,312.05

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Solution

The fourth proportional to 19,857.70, 27,416.46 and 12,312.05 is: 16,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.70 : 27,416.46 = 12,312.05 : x
  2. Step 2: Convert to fraction form
    19,857.70/27,416.46 = 12,312.05/x
  3. Step 3: Cross multiply
    19,857.70x = 27,416.46 × 12,312.05
  4. Step 4: Simplify right side
    19,857.70x = 337,552,627.70
  5. Step 5: Solve for x
    x = 337,552,627.70/19,857.70
  6. Step 6: Final answer
    x = 16,998.58

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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.